Dynamics of viscous dissipative gravitational collapse in f(R, T) gravity with full causal approach

摘要

Wepresent a study of dissipative gravitational collapse in spherically symmetric gravitating spacetime by applying the Misner-Sharp approach in metric f(R, T) gravity. This work is an extension of the study by Herrera, Di Prisco, Fuenmayor, and Troconis, Int. J. Mod. Phys. D, 18, 129 (2009), that was already done with the general theory of relativity. To this end, we have formulated a set of equations of motion by using f(R, T) = R + lambda T (where R is the Ricci scalar, T is the trace of stress-energy tensor, and lambda is the coupling constant), as well as a stress-energy tensor of viscous and heat conducting fluid. The conservation equations have been also derived for such setup. Both the conservation equations and equation of motion provide the dynamical equations in terms of the theory of gravity. Furthermore, the causal thermodynamic approach introduced by Muller-Israel-Stewart has been used to formulate the transportation equations of heat flux and bulk viscosity. Then, we perform the coupling of dynamical equations and transportation equations. The effects of bulk and shear viscosities have been investigated in detail. Finally, we studied the impact of the matter curvature coupling parameter lambda on the dynamics of the gravitating source.