Perfect fluid models in noncomoving observational spherical coordinates

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 69, Issue 12, 2004, Pages

  Ishak, Mustapha ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4043154156     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.69.124027     Document Type: Article

References (47)

1. A. Krasinski, Inhomogeneous Cosmological Models (Cambridge University Press, Cambridge, England, 1997).
2. Inhomogeneous Cosmological Models, edited by A. Molina and J.M.M. Senovilla (World Scientific, Singapore, 1995).
3. D. Kramer, H. Stephani, E. Herlt, and M. MacCallum, Exact Solutions of Einstein’s Field Equations (Cambridge University Press, Cambridge, England, 1980); see also the recent second edition (2003).
4. M. Ishak and K. Lake, Phys. Rev. D 68, 104031 (2003).
5. K. Lake, Phys. Rev. D 67, 104015 (2003).
6. V.V. Narlikar and D.N. Mogue, Mon. Not. R. Astron. Soc. 95, 135 (1935)
7. V.V. NarlikarD.N. MoguePhilos. Mag. 20, 1140 (1935).
8. D.N. Mogue and R.V. Sastry, Proc. Nat. Acad. Sci. India 95, 91 (1936).
9. P.C. Vaidya, Phys. Rev. 174, 1615 (1968).
10. G.C. McVittie and R.J. Wiltshire, Int. J. Theor. Phys. 16, 121 (1977).
11. J.M. Senovilla and R. Vera, Class. Quantum Grav. 15, 1737 (1998).
12. W. Davidson, Class. Quantum Grav. 20, 1835 (2003).
13. G.F.R. Ellis, S.D. Nel, R. Maarteens, W.R. Stoeger, and A.P. Whitman, Phys. Rep. 124, 315 (1985).
14. W.R. Stoeger, S.D. Nel, R. Maartens, and G.F.R. Ellis, Class. Quantum Grav. 9, 493 (1992).
15. W.R. Stoeger, G.F.R. Ellis, and S.D. Nel, Class. Quantum Grav. 9, 509 (1992).
16. W.R. Stoeger, S.D. Nel, and G.F.R. Ellis, Class. Quantum Grav. 9, 1711 (1992).
17. W.R. Stoeger, S.D. Nel, and G.F.R. Ellis, Class. Quantum Grav. 9, 1725 (1992).
18. W.R. Stoeger, G.F.R. Ellis, and C. Xu, Phys. Rev. D 49, 1845 (1994).
19. R. Maartens, N.P. Humphreys, D.R. Matravers, and W.R. Stoeger, Class. Quantum Grav. 13, 253 (1996)
20. Class. Quantum Grav.R. MaartensN.P. HumphreysD.R. MatraversW.R. Stoeger13, 1689(E) (1996).
21. M.E. Araujo and W.R. Stoeger, Phys. Rev. D 60, 104020 (1999)
22. Phys. Rev. DM.E. AraujoW.R. Stoeger64, 049902(E) (2001).
23. M.E. Araujo, S. Roveda, and W.R. Stoeger, Astrophys. J. 560, 7 (2001).
24. K. Santosuosso, D. Pollney, N. Pelavas, P. Musgrave, and K. Lake, Comput. Phys. Commun. 115, 381 (1998).
25. J. Carot and J. da Costa, Class. Quantum Grav. 10, 461 (1993).
26. We use signature +2 with (Formula presented)
27. G.F.R. Ellis, in General Relativity and Cosmology, Proceedings of the International School Of Physics “Enrico Fermi,” Course XLVII, edited by R.K. Sachs (Academic Press, London, 1971).
28. H. Bondi, Proc. R. Soc. London A281, 39 (1964).
29. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
30. W.C. Hernandez and C.W. Misner, Astrophys. J. 143, 452 (1966).
31. M.E. Cahill and G.C. McVittie, J. Math. Phys. 11, 1360 (1970).
32. E. Poisson and W. Israel, Phys. Rev. D 41, 1796 (1990).
33. T. Zannias, Phys. Rev. D 41, 3252 (1990).
34. S. Hayward, Phys. Rev. D 53, 1938 (1996).
35. R. Sachs, Proc. R. Soc. London A264, 309 (1961).
36. R.A. D’Inverno, Introducing Einstein’s Relativity (Oxford University Press, New York, 1996).
37. G. Lemaître, Ann Soc. Sci. Bruxelles A53, 51 (1933).
38. H. Stephani, Commun. Math. Phys. 4, 137 (1967).
39. J. Kristian and R.K. Sachs, Astrophys. J. 143, 379 (1966).
40. G.F.R. Ellis, J.J. Perry, and A.W. Sievers, Astron. J. 89, 1124 (1984).
41. SDSS Collaboration, M. Strauss, Astron. J. 124, 1810 (2002).
42. High-(Formula presented) SN Project Collaboration, A.G. Reiss, Astron. J. 116, 1009 (1998).
43. Supernova Cosmology Project Collaboration, S. Perlmutter, Astrophys. J. 517, 565 (1999).
44. SNAP Collaboration, A. Kim, astro-ph/0210077.
45. M.B. Ribeiro, Comput. Phys. Commun. 148, 236 (2002).
46. G.F.R. Ellis and W.R. Stoeger, Class. Quantum Grav. 4, 1697 (1987).
47. This is a package that runs within MAPLE. It is entirely distinct from packages distributed with MAPLE and must be obtained independently. The GRTENSORII software and documentation is distributed freely on the World Wide Web from the address http://grtensor.org