Quark stars in f(T, T) f ( T , T ) -gravity

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 space-time. 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=α T(r) + β T(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.