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.

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

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• Thermodynamics and Perturbative Analysis of Some Newly Developed $\mathcal{F}(R,L_m,T)$ Theories Under the Scenario of Conserved Energy-momentum Tensor
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• Anisotropic Spheres Via Embedding Approach in $f(R,\varphi ,X)$ Gravity
• Extended Tolman III and VII solutions in $f(\mathcal{R},T)$ gravity: Models for neutron stars and supermassive stars
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• Moment of inertia and compactness of quark stars within the context of $f(R,T,L_m)$ gravity
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• Extending Finch-Skea Isotropic Model to Anisotropic Domain in Modified $f(\mathcal{R},\mathcal{T})$ Gravity
• Neutron Stars In $f(R,T)$ Theory: Slow Rotation Approximation
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
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• Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization
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• Exact Analytical Taub-NUT like Solution in f(T) Gravity
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