Anisotropic Spheres with Barotropic Equation of State in Bimetric Theory of Relativity

TL;DR

This paper provides a general analytic solution for anisotropic spheres with a barotropic equation of state within bimetric theory of relativity, expanding on previous uniform density solutions.

Contribution

It introduces a new general solution framework for anisotropic fluids in bimetric theory, including both old and new specific solutions.

Findings

Derived a general analytic solution for anisotropic spheres

Presented a comprehensive list of solutions including new cases

Enhanced understanding of anisotropic models in bimetric gravity

Abstract

Recently, Khadekar (2007) presented the solutions with uniform energy density for anisotropic spheres in bimetric theory. We present here a general analytic solution to the field equations in bimetric theory for anisotropic fluids for a general barotropic equation of state by representing equations in terms for effective radial pressure . We list and discuss some old and new solutions which fall in this category.