Anisotropic fluid distribution in higher dimensional general theory of relativity

Abstract

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.

Spherically Symmetric Static Charged Anisotropic Fluid in Rosen's Bimetric Theory of Gravitation

“…From equation (30), we note that along with material density the electromagnetic anisotropy also contributes to the mass. It can also be noted that for Q(r) = 0, the solution obtained here match with the solution of Kandalkar and Gawande (see [6]) for a neutral matter in Higher Dimensional General Relativity. From the expression of ρ, p r and p ⊥ it is apparent that the last terms contribute negatively to these quantities.…”

“…The General Relativity analogue of the charged anisotropic fluid in 4-dimensions was considered by Singh et al (see [4]) and results obtained here match with those of obtained there. Also in absence of charge, results obtained in this paper match with the one obtained by Kandalkar and Gawande (see [6]) for the case of Higher Dimensional General Theory of Relativity. Moreover for n = 2, results in this paper matches with the results obtained by Hasmani and Pandya (see [7]) for 4-dimensional anisotropic charged matter in BGR.…”