No abstract

A new class of solutions of Einstein field equations is investigated for a cylindrically symmetric spacetime when the source of gravitation is a perfect fluid. To get the deterministic solution a relation between metric coefficients A = (BC) n is assumed. Certain physical and geometric properties of the model are also discussed.

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.

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.