Study of Charged Compact Stars in Non-minimally Coupled Gravity

Abstract

This paper studies the structural formation of various spherically symmetric anisotropic configured stars in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity under the influence of electromagnetic field, where $\mathcal{Q}={\mathcal{R}}_{\eta \sigma }{\mathcal{T}}^{\eta \sigma }$. We construct modified field equations by adopting the Krori-Barua metric potentials (involving unknowns ($A,B,C$)) and employ bag model equation of state to explore the physical characteristics of compact structures like Vela X-I,~4U 1820-30,~SAX J 1808.4-3658,~Her X-I and RXJ 1856-37. The bag constant (${\mathfrak{B}}_{\mathfrak{c}}$) and other three unknowns are calculated by using experimental data of all considered stars. Further, we adopt a standard model $\mathcal{R}+\varpi {\mathcal{R}}_{\eta \sigma }{\mathcal{T}}^{\eta \sigma }$ to interpret the graphical behavior of energy density, pressure in radial and tangential directions as well as anisotropy. We also investigate mass, compactness parameter, surface redshift and energy conditions for compact bodies by taking model parameter ($\varpi$) as $\pm 5$. The stability of the obtained solution is examined by means of two different criteria. We conclude that our proposed solution meets all the physical requirements and shows stable behavior everywhere for $\varpi =5$.

39 pages, 8 figures

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