Study of Charged Cylindrical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity

TL;DR

This study explores how electromagnetic fields and modifications in gravity theories influence the gravitational collapse of charged, cylindrically symmetric matter, revealing the roles of charge, dissipation, and modified gravity in collapse dynamics.

Contribution

It introduces a new model in $f( ext{R}, ext{T}, ext{Q})$ gravity with specific coupling constants and analyzes their effects on cylindrical collapse with electromagnetic fields and dissipation.

Findings

Charge and modified gravity slow down collapse rate.

Dissipation and bulk viscosity influence collapse dynamics.

Conformally flat solutions are obtained under certain constraints.

Abstract

This paper investigates the effects of electromagnetic field on the gravitational collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ theory, where $\mathcal{Q} = \mathcal{R}_{\varphi\vartheta} \mathcal{T}^{\varphi\vartheta}$. For this, we assume dynamical cylindrically symmetric self-gravitating geometry which is coupled with generalized anisotropic matter distribution as well as dissipation flux. We adopt the model $\mathcal{R}+\Phi\sqrt{\mathcal{T}}+\Psi\mathcal{Q}$ to formulate the corresponding dynamical and transport equations by employing the Misner-Sharp as well as M\"{u}ler-Israel Stewart formalisms, where $\Phi$ and $\Psi$ are real-valued coupling constants. The influence of state variables, heat dissipation, charge and the bulk viscosity on the collapsing phenomenon is then studied by establishing some relations between these evolution equations. Moreover, the Weyl scalar and the modified field equations are expressed in terms of each other. We apply some constraints on the considered modified model and the fluid configuration to obtain conformally flat spacetime. Finally, we address different cases to check how the modified corrections and charge affect the collapse rate of cylindrical matter source.