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Static anisotropic fluid spheres inD space-time dimensions
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Using the Einstein field equations in the presence of a cosmological constant, the equations which describe the hydrostatic equilibrium of a static anisotropic fluid sphere are obtained in D (D ≥ 4) space-time dimensions.Abstract:
Using the Einstein field equations in the presence of a cosmological constant, the equations which describe the hydrostatic equilibrium of a static anisotropic fluid sphere are obtained inD (D≥4) space-time dimensions. With suitable transformations, the equation of mass-continuity and of hydrostatic equilibrium are given in a non-dimensional form. The formalism thus developed is used to study homogeneous charged fluid spheres in higher dimensions and for these configurations a complete solution is obtained.read more
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Anisotropic charged fluid spheres in D space–time dimensions
Tiberiu Harko,M. K. Mak +1 more
TL;DR: In this article, the equations describing the mass continuity and Tolman-Oppenheimer-Volkoff equilibrium of a static anisotropic general relativistic fluid sphere are obtained in D (D⩾4) space-time dimensions in the presence of a cosmological constant.
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Bonnor stars in d spacetime dimensions
TL;DR: In this article, the authors studied a class of spherically symmetric Bonnor star solutions in d =n+1 spacetime dimensions, with n being the number of spatial dimensions, and showed that these stars, under sufficient compactification, form d-dimensional quasi-black holes.
References
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A New Interior Schwarzschild Solution
TL;DR: In this article, a new interior Schwarzschild solution is presented, which is static, spherically symmetric, regular everywhere inside a sphere of coordinate radius a, and across the surface of this sphere it is joined smoothly to the exterior Schwarzschild Solution.
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A generalization of the relativistic equilibrium equations for a non-rotating star
Giulio Magli,Jerzy Kijowski +1 more
TL;DR: In this paper, the problem of elastomechanical equilibrium for a static, spherically symmetric star composed of an elastic material is analyzed and a suitable formulation of relativistic elasticity theory is used, and second order equilibrium equations are found.
Journal ArticleDOI
Static anisotropic fluid spheres in general relativity with nonuniform density
TL;DR: In this paper, an Ansatz developed by Maharaj and Maartens was used to obtain solutions of Einstein's field equations for static anisotropic fluid spheres with nonuniform density.