The authors derive a family of charged black hole metrics in f(R,T)=R+βT gravity with Lagrangian L=f0+F+αF^p, show they have curvature singularities at the origin, and use the Sgr A* shadow to place weak upper bounds on β, α, and p.
Quark Stars in $f(T, \mathcal{T})-$Gravity
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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 $f=\alpha T(r) + \beta \mathcal{T}(r) + \varphi$ 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.
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Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
The authors derive a family of charged black hole metrics in f(R,T)=R+βT gravity with Lagrangian L=f0+F+αF^p, show they have curvature singularities at the origin, and use the Sgr A* shadow to place weak upper bounds on β, α, and p.