English

Buchdahl quark stars within $f(Q)$ theory

General Relativity and Quantum Cosmology 2022-09-26 v1 High Energy Physics - Theory

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+bf(Q)=aQ+b and non-linear f(Q)=Q+aQbf(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=1.69MM=1.69M_\odot and radius R=9.69RR=9.69R_\odot. For either linear and non-linear f(Q)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)f(Q) gravity show physically viable behavior, respect energy and causality conditions, has EoS in the bounds 0ω10\leq\omega\leq1 and surface redshift does not exceed 2, as expected.

Keywords

Cite

@article{arxiv.2209.11590,
  title  = {Buchdahl quark stars within $f(Q)$ theory},
  author = {Oleksii Sokoliuk and Sneha Pradhan and P. K. Sahoo and Alexander Baransky},
  journal= {arXiv preprint arXiv:2209.11590},
  year   = {2022}
}

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