Impact of charge and non-minimal fluid-geometry coupling on anisotropic interiors

Abstract

This paper explores the interior configuration of various charged
anisotropic compact models within the framework of
$f(\mathcal{R},\mathcal{T},\mathcal{R}_{\lambda\eta}\mathcal{T}^{\lambda\eta})$
gravity. The chosen model in this theory is represented by
$\mathcal{R}+\gamma\mathcal{R}_{\lambda\eta}\mathcal{T}^{\lambda\eta}$,
where $\gamma$ is a real-valued parameter. We adopt a static
spherical metric to describe the interior of compact strange stars
and derive the corresponding field equations. The solution to these
equations is then obtained using the Finch-Skea metric and a linear
equation of state. Taking the radius and mass of the compact star
model 4U 1820-30 as a case study, we investigate the impact of
charge and modified corrections on its internal distribution. The
stability of the resulting model is also determined within a
specific range of $\gamma$. Additionally, we determine the values of
the model parameter through the vanishing radial pressure
constraint, aligning with the experimental data of eight different
stars. Our findings indicate that the resulting model adheres to the
conditions necessary for physically relevant interiors, particularly
in the case of lower charge.