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Non-adiabatic gravitational collapse in f(R,T) gravity with Karmarkar condition for anisotropic fluid

    https://doi.org/10.1142/S0217732320501035Cited by:16 (Source: Crossref)

    In this paper, we have used the Karmarkar condition to the spherically symmetric non-static radiating star experiencing dissipative gravitational collapse with a heat flux in the framework of f(R,T) gravity, (where R is Ricci scalar which replaces Lagrangian density and T is the trace of energy–momentum tensor). To obtain the ultimate results of the gravitational field equations in f(R,T) scenario, we take a linear form of the function as f(R,T)=R+2λT. In this connection, the Karmarkar condition along with boundary condition generates a model of radiating star and enables us to completely indicate the spatial presence of gravitational potentials. Vadiya’s exterior solution across a time-like hypersurface is smoothly matched to the interior solution which allows to study the physical conduct of our model under consideration. Furthermore, we have analyzed the energy conditions of radiating star in f(R,T) gravity and analyzed the physical behavior of thermodynamics parameters which provide a detailed discussion of the model. For coupling parameter λ=0, we successfully obtain the standard results of General Relativity.

    PACS: 04.50.Kd, 05.70.-a, 98.80.-k