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

Autor: Pretel, Juan M. Z., Jor��s, Sergio E., Reis, Ribamar R. R., Arba��il, Jos�� D. V.
Rok vydání: 2020
Předmět:
DOI: 10.48550/arxiv.2012.03342
Popis: 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 $f(R, T)=R+2��T$ functional form, with $��$ 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 $dM/d��_c >0$ and sufficient condition $��^2 >0$, still hold in this theory of gravity.
Accepted for publication in JCAP; 18 pages, 6 figures and new references added
Databáze: OpenAIRE