Stability of Reissner-Nordström Black Hole

• Authors: G. Nashed
• Languages of publication: EN

Abstracts

EN

The singularity of the solutions obtained before in the teleparallel theory of gravitation is studied. Also the stability of these solutions is studied using the equations of geodesic deviation. The condition of stability is obtained. From this condition the stability of the Schwarzschild solution can be obtained.

Keywords

EN

04.20.Cv; 04.50.+h; 04.20.-q

Discipline

• 04.20.Cv: Fundamental problems and general formalism
• 04.20.-q: Classical general relativity(see also 02.40.-k Geometry, differential geometry, and topology)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 112
• Issue: 1
• Pages: 13-21

Dates

published

2007-07

received

2007-06-08

Contributors

author

G. Nashed

• Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt

References

• 1. R. d'Inverno, Introducing Einstein's Relativity, Oxford University Press, New York 1992
• 2. S.W. Hawking, G.F.R. Ellis, The Large Scale Structure of Spacetime, Cambridge University Press, London 1973
• 3. S.W. Hawking, W. Israel, An Einstein Centenary Survey, Cambridge University Press, Cambridge 1979
• 4. S.W. Hawking, W. Israel, 300 Years of Gravitation, Cambridge University Press, Cambridge 1987
• 5. C. Pellegrini, J. Plebanski, Mat. Fys. Skr. Dan. Vid. Selsk., 2, no. 4, 1, 1963
• 6. F.W. Hehl, J. Nitsch, P. von der Heyde, in: General Relativity and Gravitation, Ed. A. Held, Plenum Press, New York 1980
• 7. K. Hayashi, T. Nakano, Prog. Theor. Phys., 38, 491, 1967
• 8. W. Kopczyński, J. Phys. A, 15, 493, 1982
• 9. J.M. Nester, Class. Quantum Grav., 5, 1003, 1988
• 10. N. Toma, Prog. Theor. Phys., 86, 659, 1991
• 11. T. Kawai, N. Toma, Prog. Theor. Phys., 87, 583, 1992
• 12. V.C. de Andrade, J.G. Pereira, Phys. Rev. D, 56, 4689, 1997
• 13. V.C. de Andrade, L.C.T. Guillen, J.G. Pereira, Phys. Rev. Lett., 84, 4533, 2000
• 14. V.C. de Andrade, L.C.T. Guillen, J.G. Pereira, Phys. Rev. D, 64, 027502, 2001
• 15. C. Moller, Mat. Fys. Medd. Dan. Vid. Selsk., 39, no. 13, 1 , 1978
• 16. C. Moller, in: Proc. Int. School of Physics 'Enrico Fermi', Ed. C. Moller, Academic Press, London 1962
• 17. J.W. Maluf, J. Math. Phys., 35, 335, 1994
• 18. J.W. Maluf, J.F. DaRocha-neto, T.M.L. Toribio, K.H. Castello-Branco, Phys. Rev. D, 65, 124001, 2002
• 19. Gamal G.L. Nashed, Mod. Phys. Lett. A, 21, 2241, 2006
• 20. H.P. Robertson, Ann. Math. (Princeton), 33, 496, 1932
• 21. M.I. Wanas, M.A. Bakry, to be published
• 22. K. Hayashi, T. Shirafuji, Phys. Rev. D, 19, 3524, 1979
• 23. E. Cartan, C.R. Acad. Sci., 174, 734, 593, 1922
• 24. F.I. Mikhail, M.I. Wanas, A. Hindawi, E.I. Lashin, Int. J. Theor. Phys., 32, 1627, 1993
• 25. T. Kawai, N. Toma, Prog. Theor. Phys., 83, 1, 1990
• 26. D. Garfinkle, G.T. Horowitz, A. Strominger, Phys. Rev. D, 43, 3140, 1991
• 27. N. Bretón, gr-qc/0109022
• 28. T. Shirafuji, G.G.L. Nashed, K. Hayashi, Prog. Theor. Phys., 95, 665, 1996
• 29. G.G.L. Nashed, Nuovo Cimento B, 117, 521, 2002
• 30. G.G.L. Nashed, Chaos, Solitons and Fractals, 15, 841, 2003
• 31. K. Hong, E. Teo, Class. Quantum Grav., 20, 3269, 2003
• 32. S.I. Vacaru, Int. J. Mod. Phys. D, 12, 461, 2003
• 33. R.S. Ward, Class. Quantum Grav., 19, L17, 2002

Identifiers

DOI

10.12693/APhysPolA.112.13