Quark Stars in $f(T,\mathcal{T})-$Gravity

Abstract

We derive a working model for the Tolman-Oppenheimer-Volkoff equation for quark star systems within the modified $f(T,\mathcal{T})$-gravity class of models. We consider $f(T,\mathcal{T})$-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 parameter, namely taking $f=\alpha T(r)+\beta \mathcal{T}(r)+\phi$ and investigate the behavior of a linear energy-momentum tensor trace, $\mathcal{T}$. We also outline the restrictions which modified $f(T,\mathcal{T})$-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 $f(T,\mathcal{T})$-gravity.

References in corpus (14)

• Dynamics of dark energy
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Cosmological Evolution of a Quintom Model of Dark Energy
• On Born-Infeld Gravity in Weitzenbock spacetime
• $f(T,\mathcal{T})$ gravity and cosmology
• Extreme neutron stars from Extended Theories of Gravity
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Solar System tests in $f(T)$ gravity

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