Quark stars in f(T,T )-gravity

Abstract

We derive a working model for the Tolman– Oppenheimer–Volkoff equation for quark star systems within the modified f (T, T )-gravity class of models. We consider f (T, T )-gravity for a static spherically symmetric spacetime. In this instance the metric is built from a more fundamental tetrad vierbein from which the metric tensor can be derived. We impose a linear f (T ) parameter, namely taking f = αT (r ) + βT (r ) + ϕ and investigate the behaviour of a linear energy-momentum tensor trace, T .We also outline the restrictions which modified f (T, T )-gravity imposes upon the coupling parameters. Finally we incorporate the MIT bag model in order to derive the mass–radius and mass–central density relations of the quark star within f (T, T )-gravity.