Conformally symmetric static fluid spheres

Abstract

Solutions of the Einstein–Maxwell equations for static spheres of charged imperfect fluids are investigated, where the space-time geometry is assumed to admit a conformal symmetry. Previous work is generalized by considering a nonstatic conformal symmetry. This allows the possibility of solutions that are nonsingular at the center, unlike the previous solutions based on a static conformal symmetry. Two such regular solutions are presented for charged spheres. The further generalization necessary to find stable exact stellar models with a conformal symmetry is indicated.