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Original Articles
Spherically Symmetric Static Fluids in Rosen’s Bimetric Theory of Gravitation
G. S. Khadekargkhadekar@rediffmail.comDepartment of MathematicsRTM Nagpur University Mahatma Jyotiba Phule Educational CampusAmravati Road Nagpur-440033, IndiaView full profile → , Gopal KondawarDepartment of MathematicsRTM Nagpur University Mahatma Jyotiba Phule Educational CampusAmravati Road Nagpur-440033, IndiaView full profile →
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- Received:
- 12 Jan 2006
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2006.10698506
- Pages:
- 95–102
Abstract
In this paper we have presented a procedure to obtain general exact analytical solutions of the field equations of Bimetric General Relativity (BGR) for a static spherically symmertic perfect fluid. The general analytical solution obtained depends on an arbitrary function of the radial coordinate. As illustrations of the procedure the exterior and interior Schwarzschild solutions are regained in BGR. The solutions agrees with the Einstein general relativty (GR) for a physical system of the size of a solar system.
Keywords
References
- Berger, S., Hojman, R. and Santamarina, J.1987 . General exact solutions of Einstein equations for static perfect fluids with spherical symmetry . , 28 : 2949
- Collins, C.B.1985 . Static relativistic perfect fluids with sperical, plane or hyperbolic symmetry . , 26 : 2268
- Diaz, M. C. and Pulline, J. A.1988 . General solution for slowly - rotating perfect fluid in general relativity . , 148 : 385
- Falik, D. and Rosen, N.1980 . Particle field in bimetric general realtivity . , 239 : 1024
- Gaete, P. and Hojman, Robert.1990 . General exact solution for homogeneous time-dependent self-gravitating perfect fluids . , 31 : 140
- Harpaz, A. and Rosen, N.1985 . Compact object in bimetric relativity . , 291 : 417
- Hojman, R. and Santamarina, J.1984 . Exact solution of plane symmetric cosmological models . , 25 : 1973
- Khadekar, G. S. and Kandalkar, S P.2004 . Anisotropic fluid distribution in bimetric theory of relativity . , : 415
- Rosen, N.1974 . Theory of gravitation . , 84 : 455
- Rosen, N.1978 . Bimetric gravitation theory on a cosmological basis . , 9 : 339
- Schwarzschlid, Sitzungsber. 1916 . 189
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