General exact solutions of Einstein equations for static perfect fluids with spherical symmetry

Berger, Sônia Maria Dantas; Hojman, R.; Santamarina, Jorge

doi:10.1063/1.527697

Cited by 36 publications

(24 citation statements)

References 5 publications

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“…It should be stressed that the physical variables ρ, p and p ⊥ as well as the metric coefficients e λ and e ν can be obtained as known functions of for a given g(r) and ω(r). Following Berger et al (1987) equation (15) can be integrated to give…”

Section: Field Equations and Generating Functionmentioning

confidence: 99%

Anisotropic fluid distribution in higher dimensional general theory of relativity

Kandalkar

Gawande

2008

Astrophys Space Sci

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We have obtained static and spherically symmetric self-gravitating solution of the field equations for anisotropic distribution of matter in higher-dimensional in the context of Einstein's general theory of relativity. This work is an extension of the previous work of Hector Rago (Astrophys. Space Sci. 183:333, 1991) for four dimensional space-time. The solutions are matched to the analytical solutions for spherically symmetric self gravitating distribution of anisotropic matter obtained by Hector Rago (1991) for n = 2.

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Section: Field Equations and Generating Functionmentioning

confidence: 99%

Anisotropic fluid distribution in higher dimensional general theory of relativity

Kandalkar

Gawande

2008

Astrophys Space Sci

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“…The method is a generalization of one originally developed by Berger et al (1987) for isotropic fluid sphere, and later applied to charged perfect fluid case by Pantino and Rago (1989) in GR and Khadekar and Kandalkar (2004) representing neutral sphere in bimetric relativity. The approach of this work is based on the introduction of the generating function.…”

Section: Introductionmentioning

confidence: 98%

Exact Solutions for Charged Sphere in Rosen’s Bimetric Theory of Gravitation

Khadekar¹

2005

Journal of Dynamical Systems and Geometric Theories

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Exact solution of the filed equations of Bimetric General Relativ are obtained for the .case of static and spherically symmetric dis t.ribution of charged matter. The solutions are by using the method of for Charged sphere in general relativity (GR). The physical pluasability of the'solutions is discussed and it is shown that all the solutioqs agree with Einstien general relativity for a physical system compair 'to size·of the universe SUCh!lS solar system.

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“…Whereas some steps toward finding all possible solutions to the perfect fluid constraint in the absence of a specific equation of state were presented in work early of Wyman and Hojman et al [4,5], explicit and fully general solutions of the perfect fluid constraint have only very recently been developed [6,7]. In this article we present a variant of Lake's algorithm [7] using curvature coordinates wherein:…”

Section: Introductionmentioning

confidence: 99%

Algorithmic construction of static perfect fluid spheres

Martin

Visser

2004

Phys. Rev. D

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Perfect fluid spheres, either Newtonian and relativistic, are the first step in developing realistic stellar models (or models for fluid planets). Despite the importance of these models, explicit and fully general solutions of the perfect fluid constraint in general relativity have only very recently been developed. In this Brief Report we present a variant of Lake's algorithm wherein: (1) we re-cast the algorithm in terms of variables with a clear physical meaning -the average density and the locally measured acceleration due to gravity, (2) we present explicit and fully general formulae for the mass profile and pressure profile, and (3) we present an explicit closed-form expression for the central pressure. Furthermore we can then use the formalism to easily understand the pattern of inter-relationships among many of the previously known exact solutions, and generate several new exact solutions.

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General exact solutions of Einstein equations for static perfect fluids with spherical symmetry

Cited by 36 publications

References 5 publications

Anisotropic fluid distribution in higher dimensional general theory of relativity

Anisotropic fluid distribution in higher dimensional general theory of relativity

Exact Solutions for Charged Sphere in Rosen’s Bimetric Theory of Gravitation

Algorithmic construction of static perfect fluid spheres

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