Buchdahl quark stars within f(Q) 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 $$f(Q)=aQ+b$$ and nonlinear $$f(Q)=Q+aQ^b$$ forms of modified symmetric teleparallel gravitation. In order to obtain the correct form of Buchdahl metric coefficients, they matched interior strange star space-time with the exterior Schwarzschild vacuum space-time. 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 nonlinear 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 nonlinear f(Q) gravity show physically viable behavior, respect energy and causality conditions, has EoS in the bounds $$0\le \omega \le 1$$ and surface redshift does not exceed 2, as expected.