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

Abstract

<jats:p> The aim of this outline is to investigate the consequences of viscous dissipative self-gravitational collapse in non-static spherically symmetric geometry by adopting a Misner–Sharp approach in the context of f(R) metric formalism. In this outline, we propose a viable f(R) model for the physical significance of a self-gravitating system. We determine the junction conditions between interior and exterior space–times. Furthermore, we extend our work for the dissipative dark source case in both forms of heat transformation and free radiation streaming. Finally, the dissipative variables such as heat flux, bulk, and shear viscosity are evaluated in the dynamical equation and then coupled with full causal transport equations in the background of the Israel–Stewart notion. The present analysis discusses the whole study of self-gravitational collapse and recognizes the form of a reduced collapse due to decreasing gravitational mass density, which depends on thermodynamical collapsing variables. </jats:p>

Collapsing Shear‐Free Anisotropic Embedding Star Model in f(R)$f(R)$ Gravity

“…The physical causes of the charged anisotropic collapsing object have been described for a viable case of the $$f(R)=R+\alpha R^2$$ model. [ 69,70 ] Abbas and Nazar [ 71–73 ] have examined various physical properties of perfect fluid GC for spherical and cylindrical symmetric spacetimes in the minimal and non‐minimal coupling $$f(R)$$ theories of gravity. In contrast to these outcomes, Capozziello and his co‐workers [ 74–77 ] have shown the mass‐radius profile for the static neutron star models by studying the numerical result of the modified $$TOV$$ equation.…”