Eur. Phys. J. C (2017) 77: 62
https://doi.org/10.1140/epjc/s10052-017-4637-8

Regular Article - Theoretical Physics

Quark stars in -gravity

¹ Department of Physics, University of Malta, Msida, MSD 2080, Malta
² Institute of Space Sciences and Astronomy, University of Malta, Msida, MSD 2080, Malta

^* e-mail: mark.pace.10@um.edu.mt

Received: 19 October 2016
Accepted: 15 January 2017
Published online: 31 January 2017

Abstract

We derive a working model for the Tolman–Oppenheimer–Volkoff equation for quark star systems within the modified -gravity class of models. We consider -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 and investigate the behaviour of a linear energy-momentum tensor trace, . We also outline the restrictions which modified -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 -gravity.