The non-minimally coupled symmetric teleparallel gravity with electromagnetic field

TL;DR

This paper develops a new symmetric teleparallel gravity model non-minimally coupled with electromagnetic fields, deriving its field equations and finding specific spherically symmetric solutions in four dimensions.

Contribution

It introduces the first formulation of a non-minimally coupled symmetric teleparallel gravity model with electromagnetic fields and derives its field equations.

Findings

Derived the field equations for the new gravity model.

Found classes of spherically symmetric static solutions.

Provided insights into the structure of symmetric teleparallel gravity.

Abstract

We construct a symmetric teleparallel gravity model which is non-minimally coupled with electromagnetic field in four dimensions inspired by its Riemannian equivalent. We derive the field equations by taking the variation of this model, which is written here for the first time. Then, we find some classes of spherically symmetric static solutions by the coincident gauge of symmetric teleparallel spacetime.