Relativistic anisotropic charged fluid spheres with varying cosmological constant

Abstract

Static spherically symmetric anisotropic source has been studied for the Einstein- Maxwell field equations assuming the erstwhile cosmological constant Λ to be a space-variable scalar, viz., Λ = Λ(r). Two cases are examined out of which one reduces to isotropic sphere. The solutions thus obtained are shown to be electromagnetic in origin as a particular case. It is also shown that the generally used pure charge condition, viz., ρ+pr = 0 is not always required for constructing electromagnetic mass models.