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.

arXiv comment25 pages, no figure

References in corpus (38)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• f(R,T) gravity
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Extra force in $f(R)$ modified theories of gravity
• One-loop f(R) gravity in de Sitter universe
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Spherically symmetric dissipative anisotropic fluids: A general study
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• f(R,T) Cosmological Models in Phase Space
• Nonadiabatic charged spherical gravitational collapse
• Dynamics of dissipative gravitational collapse
• Gravastars in $f(R,\mathcal{T})$ gravity
• Dynamics of viscous dissipative gravitational collapse: A full causal approach
• Energy Conditions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• The First Search for Gravitational Waves from Inspiraling Compact Binaries using TAMA300 data
• Why Gravitational Contraction Must be Accompanied by Emission of Radiation Both in Newtonian and Einstein Gravity
• Spherical Collapse in f(R) Gravity
• Critical Collapse of Cylindrically Symmetric Scalar Field in Four-Dimensional Einstein's Theory of Gravity
• Charged Cylindrical Collapse of Anisotropic Fluid
• Effects of Electromagnetic Field on the Dynamical Instability of Expansionfree Gravitational Collapse
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Study of Decoupled Anisotropic Solutions in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ Theory
• Charged Anisotropic Models with Complexity-free Condition
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• Dissipative Cylindrical Collapse of Charged Anisotropic Fluid
• Influence of Charge on Anisotropic Class-one Solution in Non-minimally Coupled Gravity
• Gravitational Collapse: Expanding and Collapsing Regions
• On the Matching Conditions for the Collapsing Cylinder
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• Dissipative Self-Gravitating Systems in Modified Gravity
• Junction Conditions and Consequences of Quasi-Spherical Space-Time with Electro-Magnetic Field and Vaidya Matric
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Charged Anisotropic Spherical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity
• A Time Dependent Spacetime in $f(R,T)$ Gravity: Gravitational Collapse

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