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

Abstract

This paper investigates the effects of electromagnetic field on the gravitational collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ theory, where $\mathcal{Q}={\mathcal{R}}_{\phi \vartheta }{\mathcal{T}}^{\phi \vartheta }$. 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 Müler-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.

25 pages, no figure

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Cited by in corpus (1)

• Impact of Charge on Complexity Analysis and Isotropic Decoupled Solutions in $f(\mathbb{R},\mathbb{T})$ Gravity