Dynamics of Charged Viscous Dissipative Cylindrical Collapse With Full Causal Approach

TL;DR

This paper explores the dynamical behavior of charged, viscous, dissipative cylindrical sources using a full causal approach, extending previous models by including thermodynamic viscous and heat coupling effects within Israel-Stewart theory.

Contribution

It introduces a comprehensive analysis of charged viscous cylindrical collapse with causal transport equations, incorporating viscous/heat coupling coefficients for the first time.

Findings

Derived coupled dynamical and causal transport equations.

Compared results with non-causal models, highlighting differences.

Showed the impact of viscous/heat coupling on collapse dynamics.

Abstract

The aim of this paper is to investigate the dynamical aspects of charged viscous cylindrical source by using Misner approach. To this end, we have considered the more general charged dissipative fluid enclosed by the cylindrical symmetric spacetime. The dissipative nature of the source is due to the presence of dissipative variables in the stress-energy tensor. The dynamical equations resulting from such charged cylindrical dissipative source have been coupled with the causal transport equations for heat flux, shear and bulk viscosity, in the context of Israel-Steward theory. In this case, we have the considered the Israel-Steward transportation equations without excluding the thermodynamics viscous/heat coupling coefficients. The results are compared with the previous works in which such coefficients were excluded and viscosity variables do not satisfy the casual transportation equations.