Buchdahl quark stars within $f(Q)$ theory

TL;DR

This paper investigates strange quark stars within modified symmetric teleparallel gravity models, demonstrating their physical viability and consistency with energy, causality, and redshift constraints for both linear and non-linear $f(Q)$ functions.

Contribution

It introduces a detailed analysis of strange stars in $f(Q)$ gravity, including matching interior and exterior solutions and testing various physical conditions, which is novel in this context.

Findings

Strange stars in $f(Q)$ gravity satisfy energy and causality conditions.

Surface redshift remains below the value of 2.

EoS parameter $oxed{0 \\leq \\omega \\leq 1}$ is maintained.

Abstract

In the present paper, authors study the strange stars with the MIT Bag EoS admitting Buchdahl symmetry (non-singular and physically viable metric potential) in the both linear $f(Q)=aQ+b$ and non-linear $f(Q)=Q+aQ^b$ forms of modified symmetric teleparallel gravitation. In order to obtain the correct form of Buchdahl metric coefficients, they matched interior strange star spacetime with the exterior Schwarzschild vacuum spacetime. As a strange star candidate, PSRJ1416-2230 has been used with mass $M=1.69M_\odot$ and radius $R=9.69R_\odot$. For either linear and non-linear $f(Q)$ gravities, they probed Null, Dominant and Strong Energy Conditions as well as the radial, tangential Equation of State (EoS), gradients of the perfect fluid energy-momentum tensor elements, Tolman-Oppenheimer-Volkoff equilibrium condition, relativistic adiabatic index and causality conditions, surface redshift. It was found that strange stars in the linear and non-linear $f(Q)$ gravity show physically viable behavior, respect energy and causality conditions, has EoS in the bounds $0\leq\omega\leq1$ and surface redshift does not exceed 2, as expected.