Non-existence of higher dimensional axially symmetric field in Rosen's theory of gravitation

Khadekar, G. S.; Karade, T. M.

doi:10.1007/bf01597921

Cited by 4 publications

(3 citation statements)

References 6 publications

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“…Kandalkar ( ) · S.P. Gawande Government Vidarbha Institute of Science and Humanities, 444604 Amravati, India e-mail: spkandalkar2004@yahoo.com Bondi 1993Bondi , 1999Lamaitre 1933;Coley and Tupper 1994;Martinez et al 1994;Singh et al 1995;Das et al 1995Das et al , 1997Maartens et al 1995;Magli 1997;Herrera and Santos 1997;Corchero 1998aCorchero , 1998bCorchero , 2002Herrera et al 1998Herrera et al , 2001Hernandez et al 1999;Das and Kloster 2000;Mark 2000, 2002;Jhingan and Magli 2000;Krisch and Glass 2002). These solutions are of interest in relativistic astrophysics as models of massive compact objects.…”

Section: Introductionmentioning

confidence: 93%

“…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%

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Charged fluid sphere in bimetric general theory of relativity

Kandalkar

Gawande

2009

Astrophys Space Sci

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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.

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Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Charged fluid sphere in bimetric general theory of relativity

Kandalkar

Gawande

2009

Astrophys Space Sci

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“…However, for a collapsed star model the two theories yield different results. The BGTR becomes a famous among the researcher within few years of the proposal and various aspects were investigated (Khadekar & Karade 1989;Reddy & Venkateswarlu 1989;Goldman & Rosen 1977;Akrami et al 2015). It is investigated that the bimetric gravity has a subtle relationship with massive gravity (Baccetti et al 2012).…”

Section: Introductionmentioning

confidence: 99%

Tolman IV fluid sphere in bigravity

Singh,

Sarkar,

Rahaman

2020

Preprint

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We present Tolman IV spacetime representing compact fluid sphere in bigravity. Here we have explored the effect of scale parameter k in the local matter distribution of compact stars. We have model for three well-known compact stars and it shows that for lower values of k leads to stiffer EoS. This claim is also supported by the graphical analysis. It can be observed that the sound speed and the adiabatic index are more for lower values of k. It is also seen that all the solutions of Einstein's field equations are still satisfying the field equations in the presence of a background metric γ µν . However, the density and pressure does modified by extra term from the constant curvature background, thus affecting the EoS. One can also think that the parameter α ≡ 1/k 2 as coupling constant between the g µν and γ µν and consequently more the coupling stiffer is the EoS. As k → ∞, the background de-Sitter spacetime reduces to Minkowski's spacetime and the coupling vanishes. The solution satisfy the causality condition, all the energy conditions and equilibrium under gravity and hydrostatic forces. The stability of the local stellar structure is enhanced by reducing the scalar curvature of the background spacetime.

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String cosmological models in five dimensional bimetric theory of gravitation

Khadekar

Tade²

2007

Astrophys Space Sci

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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.

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Non-existence of higher dimensional axially symmetric field in Rosen's theory of gravitation

Cited by 4 publications

References 6 publications

Charged fluid sphere in bimetric general theory of relativity

Charged fluid sphere in bimetric general theory of relativity

Tolman IV fluid sphere in bigravity

String cosmological models in five dimensional bimetric theory of gravitation

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