Compact Stars in the Non-minimally Coupled Electromagnetic Fields to Gravity

TL;DR

This paper explores non-minimal electromagnetic coupling in gravity to model charged compact stars, deriving exact solutions and analyzing their physical properties without assuming specific matter-pressure relations.

Contribution

It introduces a new family of exact solutions for charged compact stars in non-minimal electromagnetic-gravity models, expanding understanding of their structure and observable characteristics.

Findings

Derived exact spherically symmetric solutions

Analyzed mass-radius and charge-radius ratios

Showed models can describe stars with simplified parameters

Abstract

We investigate the gravitational models with the non-minimal $Y(R)F^2$ coupled electromagnetic fields to gravity, in order to describe charged compact stars, where $Y(R) $ denotes a function of the Ricci curvature scalar $R$ and $F^2$ denotes the Maxwell invariant term. We determine two parameter family of exact spherically symmetric static solutions and the corresponding non-minimal model without assuming any relation between energy density of matter and pressure. We give the mass-radius, electric charge-radius ratios and surface gravitational redshift which are obtained by the boundary conditions. We reach a wide range of possibilities for the parameters $k$ and $\alpha$ in these solutions. Lastly we show that the models can describe the compact stars even in the the more simple case $\alpha=3$.