Role of Curvature-Matter Coupling on Anisotropic Strange Stars

Abstract

In this paper, we study the physical characteristics of anisotropic spherically symmetric quark star candidates for $R+2\sigma T$ gravity model, where $R$, $\sigma$ and $T$ depict scalar curvature, coupling parameter, and the trace of the energy-momentum tensor, respectively. In order to analyze the structure formation of quark stars, we consider the Heintzmann solution and assume that strange quark matter is characterized by MIT bag model equation of state. We evaluate the unknown parameters through matching conditions and obtain the values of radii of strange quark stars using modified Tolman-Oppenheimer-Volkoff equation with observed values of masses and bag constant. The feasibility of our considered solution is analyzed by graphical analysis of matter variables, energy bounds, causality condition and adiabatic index. It is found that the strange quark stars show stable structure corresponding to Heintzmann solution and their physical viability enhances with increasing values of the model parameter $\sigma$.

arXiv comment24 pages, 7 figures

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• Study of Anisotropic Compact Stars in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\chi \xi }{\mathcal{T}}^{\chi \xi })$ Gravity
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework