Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity

Abstract

We examine the static structure configurations and radial stability of compact stars within the context of $f(R,T)$ gravity, with $R$ and $T$ standing for the Ricci scalar and trace of the energy-momentum tensor, respectively. Considering the $f(R,T)=R+2\beta T$ functional form, with $\beta$ being a constant, we derive the corresponding hydrostatic equilibrium equation and the modified Chandrasekhar's pulsation equation. The mass-radius relations and radial mode frequencies are obtained for some realistic equations of state. Our results show that the traditional stellar stability criteria, namely, the necessary condition $dM/d{\rho }_c>0$ and sufficient condition ${\omega }^2>0$, still hold in this theory of gravity.

Accepted for publication in JCAP; 18 pages, 6 figures and new references added

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