Static cylindrical symmetry and conformal flatness

International Journal of Modern Physics D

Volumn 14, Issue 3-4, 2005, Pages 657-666

  Herrera, L ^a   Denmat, G L E ^b   Marcilhacy, G ^b   Santos, N O ^b,c,d  

^a FACULTAD DE CIENCIAS   (Venezuela)

^b SORBONNE UNIVERSITÉ   (France)

^c LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^d CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

Conformal flatness; Cylindrical sources; Self gravitating systems

Indexed keywords

EID: 21244481341     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271805006626     Document Type: Article

References (32)

1. T. Levi-Civita, Rend. Acc. Lincei 28, 101 (1919).
2. L. Herrera, F. M. Paiva and N. O. Santos, J. Math. Phys. 40, 4064 (1999).
3. A. Evans, J. Phys. A10, 1303 (1977);
4. D. Kramer, Class. Quantum Grav. 5, 193 (1988);
5. H. Bondi, Proc. R. Soc. London A427, 259 (1990);
6. W. Davidson, Gen. Rel. Grav. 22, 553 (1990);
7. W. Davidson, J. Math. Phys. 31, 1972 (1990);
8. M. F. A. da Silva, L. Herrera, F. M. Paiva and N. O. Santos, J. Math. Phys. 36, 3625 (1995);
9. S. Haggag and F. Desokey, Class. Quantum Grav. 13, 3221 (1996);
10. S. Haggag and R. Mahmoud, Il Nuovo Cimento B113, 1131 (1998);
11. A. Banerjee, S. Chaterjee and T. Ghosh, Pramana J. Phys. 54, 337 (2000);
12. R. Ali, Il Nuovo Cimenta B116, 1005 (2001);
13. S. Goncalves, gr-qc/0202042; U. Camci, Int. J. Mod. Phys. D12, 1431 (2003);
14. M. Arik and O. Delice, Int. J. Mod.Phys. D12, 1095 (2003);
15. A. Qadir, K. Saifullah and M. Ziad, Gen. Rel. Grav. 35, 1927 (2003);
16. J. Krisch, Class. Quantum Grav. 20, 1605 (2003);
17. D. Konkowski, T. Heliwell and C. Wieland, Class. Quantum Grav. 21, 265 (2004);
18. J. Gersl, P. Keplac and J. Horsky, Gen. Rel. Grav. 36, 1399 (2004);
19. J. Hennig and G. Neugebauer, gr-qc/0409096;
20. O. Delice, gr-qc/0411011; O. Delice, gr-qc/0405065.
21. L. Herrera, A. Di Prisco, J. Martin, J. Ospino, N. O. Santos and O. Troconis, Phys. Rev. D69, 084026 (2004).
22. E. T. Whittaker, Proc. Roy. Soc. A149, 384 (1935).
23. W. B. Bonnor, J. Phys. A12, 847 (1979).
24. M. F. A. da Silva, L. Herrera, F. M. Paiva and N. O. Santos, Gen. Rel. Grav. 27, 859 (1995).
25. M. A. H. MacCallum, Gen. Rel. Grav. 30, 131 (1998).
26. B. W. Bonnor, The static cylinder in general relativity, in On Einstein's Path, ed. A. Harvey (Springer-Verlag, New York, 1999), p. 113.
27. G. Darmois, Mémorial des Sciences Mathematiques (Gauthiers Villars, Paris, 1927), fasc. 25.
28. T. Philbin, Class. Quantum Grav. 13, 1217 (1997).
29. L. Herrera, J. Ruifernández and N. O. Santos, Gen. Rel. Grav. 33, 515 (2001).
30. L. Herrera, N. O. Santos, A. F. F. Teixeira and A. Z. Wang, Class. Quantum Grav. 18, 3847 (2001).
31. A. R. Raychaudhuri and S. R. Maiti, J. Math. Phys. 20, 245 (1979).
32. L. Herrera, A. Di Prisco, J. Ospino and E. Fuenmayor, J. Math. Phys. 42, 2129 (2001).