Anisotropic geodesic fluid spheres in general relativity

Journal of Mathematical Physics

Volumn 43, Issue 10, 2002, Pages 4889-4897

  Herrera, L ^a   Martin, J ^b   Ospino, J ^b  

^a FACULTAD DE CIENCIAS   (Venezuela)

^b UNIVERSITY OF SALAMANCA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035981696     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1505985     Document Type: Article

References (34)

1. G. Lemaitre, Ann. Soc. Sci. Bruxelles A53, 51 (1933).
2. R. Bowers and E. Liang, Astrophys. J. 188, 657 (1974).
3. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
4. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
5. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
6. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
7. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
8. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
9. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
10. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
11. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
12. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
13. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
14. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
15. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
16. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
17. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
18. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
19. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
20. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
21. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
22. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
23. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
24. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
25. L. Herrera and N.O. Santos, Phys. Rep. 286, 53 (1997); H. Bondi, Mon. Not. R. Astron. Soc. 262, 1088 (1993); L. Herrera, Phys. Lett. A 165, 206 (1992); W. Barreto, Astrophys. Space Sci. 201, 191 (1993); A. Coley and B. Tupper, Class. Quantum Grav. 11, 2553 (1994); J. Martinez, D. Pavon, and L. Nunez, Mon. Not. R. Astron. Soc. 271, 463 (1994); T. Singh, P. Singh, and A. Helmi, Nuovo Cimento B. 110, 387 (1995); A. Das, N. Tariq, and J. Biech, J. Math. Phys. 36, 340 (1995); R. Maartens, S. Maharaj, and B. Tupper, Class. Quantum Grav. 12, 2577 (1995); G. Magli, ibid. 14, 1937 (1997); A. Das, N. Tariq, D. Aruliah, and T. Biech, J. Math. Phys. 38, 4202 (1997); L. Herrera, A. Di Prisco, J. Hernández-Pastora, and N.O. Santos, Phys. Lett. A 237, 113 (1998); E. Corchero, Class. Quantum Grav. 15, 3645 (1998); E. Corehero, Astrophys. Space Sci. 259, 31 (1998); H. Bondi, Mon. Not. R. Astron. Soc. 302, 337 (1999); H. Hernandez, L. Nunez, and U. Percoco, Class. Quantum Grav. 16, 897 (1999); T. Harko and M. Mark, J. Math. Phys. 41, 4752 (2000); A. Das and S. Kloster, Phys. Rev. D 62, 104002 (2000); S. Jhingan and G. Magli ibid. 61, 124006 (2000); L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001); J. Krisch and E. Glass, ibid. 43, 1509 (2002); E. Corchero, Class. Quantum Grav. 19, 417 (2002); T. Harko and M. Mark, Ann. Phys. (Leipzig) 11, 3 (2002).
26. R. Tolman, Proc. Natl. Acad. Sci. U.S.A. 20, 169 (1934); H. Bondi, Mon. Not. R. Astron. Soc. 107, 410 (1947).
27. R. Tolman, Proc. Natl. Acad. Sci. U.S.A. 20, 169 (1934); H. Bondi, Mon. Not. R. Astron. Soc. 107, 410 (1947).
28. J.R. Oppenheimer and H. Snyder, Phys. Rev. 56, 455 (1939).
29. H. Bondi, Proc. R. Soc. London, Ser. A 281, 39 (1964).
30. W. Israel, Nuovo Cimento B 44, 1 (1966).
31. R. Tolman, Phys. Rev. 35, 875 (1930).
32. M. Schwarzschild, Structure and Evolution of the Stars (Dover, New York, 1958); R. Kippenhahn and A. Weigert, Stellar Structure and Evolution (Springer, Berlin, 1990); C. Hansen and S. Kawaler, Stellar Interiors: Physical Principles, Structure and Evolution (Springer, Berlin, 1994).
33. M. Schwarzschild, Structure and Evolution of the Stars (Dover, New York, 1958); R. Kippenhahn and A. Weigert, Stellar Structure and Evolution (Springer, Berlin, 1990); C. Hansen and S. Kawaler, Stellar Interiors: Physical Principles, Structure and Evolution (Springer, Berlin, 1994).
34. M. Schwarzschild, Structure and Evolution of the Stars (Dover, New York, 1958); R. Kippenhahn and A. Weigert, Stellar Structure and Evolution (Springer, Berlin, 1990); C. Hansen and S. Kawaler, Stellar Interiors: Physical Principles, Structure and Evolution (Springer, Berlin, 1994).