Charged quark stars in $f(R,T)$ gravity

TL;DR

This paper investigates the structure of charged quark stars within $f(R,T)$ gravity, revealing how matter-geometry coupling and charge influence star mass and radius using a specific quark matter model.

Contribution

It introduces a numerical analysis of charged quark stars in $f(R,T)$ gravity with a new matter-geometry coupling parameter and charge-density relation.

Findings

Matter-geometry coupling $eta$ affects star mass and radius.

Charge parameter $ ho_{ch} = ho$ influences star properties.

Numerical solutions demonstrate the impact of $f(R,T)$ gravity on compact stars.

Abstract

Recent advances in nuclear theory combined with new astrophysical observations have led to the need for specific theoretical models that actually apply to phenomena on dense-matter physics. At the same time, quantum chromodynamics (QCD) predicts the existence of non-nucleonic degrees of freedom at high densities in neutron-star matter, such as quark matter. Within a confining quark matter model, which consists of homogeneous, neutral 3-flavor interacting quark matter with $\mathcal{O}(m_s^4)$ corrections, we study the structure of compact stars made of a charged perfect fluid in the context of $f(R,T)$ gravity. The system of differential equations that describe the structure of charged compact stars have been derived and solved numerically for a gravity model with $f(R,T)= R+ 2\beta T$. For simplicity, we assume that the charge density is proportional to the energy density, namely, $\rho_{\rm ch} = \alpha \rho$. It is demonstrated that matter-geometry coupling constant $\beta$ and the charge parameter $\alpha$ affect the total gravitational mass and the radius of the star.