Dynamics of Dissipative Viscous Cylindrical Collapse with Full Causal Approach in f(R) Gravity

Abstract

The idea of this article is to examine the effects on dynamics of dissipative gravitational collapse in nonstatic cylindrical symmetric geometry by using Misner-Sharp concept in framework of metric f(R) gravity theory. In this interest, we extended our study to the dissipative dark source case in both forms of heat flow and the free radiation streaming. Moreover, the role of different quantities such as heat flux, bulk, and shear viscosity in the dynamical equation is evaluated in thorough version. The dynamical equation is then coupled with full causal transportation equations in the context of Israel-Stewart formalism. The present scheme explains the physical consequences of the gravitational collapse and that is given in the decreasing form of inertial mass density which depends on thermodynamics viscous/heat coupling factors in background of f(R) theory of gravity. It is very interesting to tell us that the motives of this theory are reproduced for f(R)=R into general theory of relativity that has been done earlier.

Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity

“…• Both the active inertial mass and the passive gravitational mass get reduced by the same factor, in agreement with the equivalence principle, and with the works by [13,65,71].…”

“…where H ⊥ is given in the Appendix. Substituting ( 72), (74), and (75), in (71), we get an equation of the form…”

“…Spherically symmetric collapse of isotropic non-viscous fluid satisfying the energy conditions together with matter violating the null energy conditions was investigated in the framework of f (R) theory and effect of such matter on the coupling of dynamical and transport equations, was studied in [70]. Dissipative gravitational collapse in non-static cylindrical symmetric geometry was examined in [71] by using Misner-Sharp formalism in the framework of metric f (R) gravity, and the dynamical equation was coupled with the full causal transportation equations in the context of Israel-Stewart formalism. Recently, the dynamics of non-adiabatic charged spherical gravitational collapse of an anisotropic fluid with heat flux was analyzed in the framework of f (R, T ) gravity using the Misner-Sharp approach [72].…”