Relativistic Electromagnetic Mass Models With Cosmological Variable$\Lambda$ in Spherically Symmetric Anisotropic Source

TL;DR

This paper derives exact solutions to Einstein-Maxwell equations with a spatially variable cosmological constant, modeling anisotropic charged spheres that match Reissner-Nordström exterior solutions, contributing to electromagnetic mass models.

Contribution

It introduces new exact solutions with a variable cosmological constant in spherically symmetric anisotropic charged fluids, expanding electromagnetic mass model research.

Findings

Solutions are matched continuously to Reissner-Nordström exterior

Each solution represents an electromagnetic mass model

Variable $\Lambda$ influences the structure of solutions

Abstract

A class of exact solutions for the Einstein-Maxwell field equations are obtained by assuming the erstwhile cosmological constant $ \Lambda $ to be a space-variable scalar, viz., $ \Lambda =\Lambda(r) $. The source considered here is static, spherically symmetric and anisotropic charged fluid. The solutions obtained are matched continuously to the exterior Reissner-Nordstr\"{o}m solution and each of the four solutions represents an electromagnetic mass model.