Non-minimal $R^\beta F^2$-Coupled Electromagnetic Fields to Gravity and Static, Spherically Symmetric Solutions

TL;DR

This paper explores non-minimal couplings between electromagnetic fields and gravity of the form R^β F^2, deriving field equations and presenting static, spherically symmetric solutions near charged massive objects.

Contribution

It introduces a new class of non-minimal R^β F^2 couplings and derives corresponding field equations with solutions for static, spherically symmetric spacetimes.

Findings

Derived field equations for R^β F^2 couplings.

Presented static, spherically symmetric solutions.

Analyzed exterior fields near charged masses.

Abstract

We investigate non-minimal $R^\beta F^2$-type couplings of electromagnetic fields to gravity. We derive the field equations by a first order variational principle using the method of Lagrange multipliers. Then we present various static, spherically symmetric solutions describing the exterior fields in the vicinity of electrically charged massive bodies.