Radial oscillations and stability of compact stars in f(R, T) = R+ 2β T gravity
Juan M.Z. Pretel, Sergio E. Jorás, Ribamar R.R. Reis, José D.V. Arbañil
Abstract
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+2β T functional form, with β 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 d M/dρ c >0 and sufficient condition ω 2 >0, still hold in this theory of gravity.