Interacting Scalar and Electromagnetic Fields in $f(R,\,T)$ Theory of Gravity

TL;DR

This paper investigates the behavior of scalar and electromagnetic fields in an anisotropic universe within a modified gravity framework, revealing conditions under which the system simplifies to Einstein-like equations.

Contribution

It demonstrates that in a specific $f(R,T)$ model, the field equations reduce to those of Einstein gravity, providing insights into the interaction of fields in modified gravity theories.

Findings

System reduces to Einstein gravity equations under certain conditions.

Imposes restrictions on the field equations in $f(R,T)$ gravity.

Analyzes scalar and electromagnetic field interactions in anisotropic universe.

Abstract

Within the scope of $f(R,\,T)$ gravity we have studied the interacting scalar and electromagnetic fields in a Bianchi type I universe. It was found that if the study is confined to the case $f(R,\,T) = R + \lambda f(T)$, the system is completely given by the equations similar to Einstein gravity. Moreover, the present study imposes some severe restrictions on the field equations as well.