Dynamics of non-adiabatic gravitating compact object in f(R, T) gravity

Abstract

In this paper, we have discussed the dynamics of non-adiabatic gravitating compact object in f(R, T) theory using the Misner–Sharp approach. Here, we have extended the work of Herrera and Santos, to the modified f(R, T) theory of gravity. In order to discuss the effects of heat flux on the dynamics of compact object, we have taken the non-adiabatic source inside spherically symmetric compact object and modified field equations have been evaluated in f(R, T) gravity. The Misner–Sharp mass has been used to discuss the variation of total energy inside the gravitating compact object. The dynamical equations have been formulated by using the Bianchi identities in f(R, T) gravity. Further, the dynamical equations have been coupled with the heat transportation equation resulting from the framework of Mu¨ller–Israel–Stewart formalism. To analyze the results deeper, we have used the functional form of f(R, T) model, for such model the matter-curvature coupling constant λ has some direct effects on inertial mass density and gravitational forces. It makes the gravitational force less active thereby reducing the rate of collapse.