Charged fluid sphere in bimetric general theory of relativity

Abstract

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.

Tolman IV fluid sphere in bigravity

“…In the framework of bimetric gravity, the solution for spherically symmetric self-gravitating anisotropic matter distribution was investigated by Khadekar & Kandalkar (2004) and that solution agrees with the Einstein's GRT for a physical system compared to the solar system size of universe. A charged fluid was also studied in BGTR (Kandalkar & Gawande 2010). Recently, Grigorian et al (2018) have shown that the masses for superdense compact objects in bimetric theory can be essentially larger compared to the objects in GTR depending on the value of the bimetric parameter.…”