Gravitational collapse for anisotropic radiating star with Karmarkar condition in [formula omitted] gravity

Abstract

In this study, we are interested to investigate the dissipative gravitational collapse of anisotropic spherically symmetric radiating star, which satisfies the initially static Karmarkar condition in f(R,T) gravity. Moreover, we have chosen a linear model f(R,T)=f(R)+f(T), where R is Ricci scalar, T is trace of energy-momentum tensor and λ is dimensionless coupling parameter. The terms f(R)=R and f(T)=2λT describe the geometry and matter of the radiating star, respectively. The complete set of the field equations for the radiating star has been given by the Lagrangian matter Lm=−13(PR+2P⊥). Firstly, we have established the static core because the collapse proceeds from initially static inner spacetime and further developed by the energy dissipation (non-adiabatically) in terms of heat flux in terms of Vaidya exterior metric. For the anisotropic radiating model, we have verified that the energy conditions and other physical properties are well-behaved in the background of f(R,T) theory. Eventually, by setting parameter λ=0, the results of our model are restored in General Relativity.