Anisotropic Fluid Distribution in Bimetric Theory of Relativity

In this paper we have obtained interior solutions of the field equations for anisotropic sphere in the bimetric general relativity theory formulated by Rosen (Lett. Nuovo Cimento 25, 1979). A class of solutions for a uniform energy-density source of the field equations is presented. The analytic solutions obtained are physically reasonable, well behaved in the interior of the sphere. The solutions agree with the Einstein's general relativity for a physical system compared to the size of the universe such as the solar system.

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confidence: 99%

Anisotropic spheres with uniform energy density in bimetric theory of relativity

Khadekar

Tade²

2007

“…It is interesting to note that in the non-static case the rest energy density and the tension density of the string turn out to be functions of r only. In both cases, rest energy density and tension density also have singularities while they vanish for sufficiently large values of r. Khadekar and Kandalkar (2003) have obtained the solutions of gravitational field equations for isotropic and anisotropic fluid distribution of matter in the context of higher dimensional bimetric theory of gravitation.…”

Section: Resultsmentioning

confidence: 99%

“…There have been several investigations in Rosen's bimetric theory of gravitation over the years. Rosen (1973Rosen ( , 1975, Yilmaz (1975), Karade and Dhoble (1980), Karade (1980), Israelit (1976Israelit ( , 1979Israelit ( , 1981, Karade and Khadekar (1989), Reddy and Venkateswarlu (1989), Reddy and Venkateswra Rao (1998), Karade et al (2000Karade et al ( , 2001, Mohanty and Sahoo (2002), Mohanty et al (2002) and Kandalkar (2003, 2004) are some of the authors who have studied several aspects of bimetric theory of gravitation.…”

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confidence: 99%

String cosmological models in five dimensional bimetric theory of gravitation

Khadekar

Tade²

2007

Five-dimensional spherically symmetric spacetime is considered in bimetric theory of gravitation formulated by Rosen (Gen. Rel. Grav. 4, 435, 1973) in the presence of cosmic string dust cloud. Exact cosmological models which represent geometric (Nambu) string, p-string (Takabayasi string) and Reddy string (Astrophys. Space Sci. 301, 2006) are obtained in the static and non-static cases. Some physical properties of the models are also discussed.

“…These solutions are of interest in relativistic astrophysics as models of massive compact objects. Rosen (1973Rosen ( , 1975, Venkateswarlu (1989, 1998), Khadekar and Karade (1989), and Khadekar and Kandalkar (2004) have investigated several aspects of the bimetric theory of gravitation. Falik and Rosen (1981) have obtained a charged point particle according to the bimetric theory of relativity.…”

Section: Introductionmentioning

confidence: 99%

Charged fluid sphere in bimetric general theory of relativity

Kandalkar

Gawande

2009

Static and spherical symmetric solutions of the field equations in the bimetric general theory of gravitation are obtained for perfect and anisotropic charged fluids under the assumption that the physical metric admits a one-parameter group of conformal motion. All solutions are matched to the Reissner-Nordstrom metric and possess positive energy density larger than the stresses, everywhere within the sphere. The solution agrees with Einstein's general relativity for a physical system comparable to the size of the universe, such as the solar system.