Influence of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity on Cylindrical Collapse

Abstract

This article examines the dynamics of gravitational collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity, where $\mathcal{Q}={\mathcal{R}}_{\mathrm{ab}}{\mathcal{T}}^{\mathrm{ab}}$. We consider self-gravitating anisotropic cylindrical geometry whose interior is filled with dissipative matter configuration and match it with exterior cylindrically symmetric spacetime at the hypersurface through junction conditions. We employ the Misner-Sharp and Müler-Israel Stewart formalisms to derive the dynamical as well as transport equations corresponding to the model $\mathcal{R}+\Phi \sqrt{\mathcal{T}}+\Psi \mathcal{Q}$, where $\Phi$ and $\Psi$ are arbitrary coupling constants. We then establish some relations between these equations through which the impact of effective matter variables, heat dissipation and the bulk viscosity on the collapse rate is studied. Further, we express the Weyl scalar in terms of the effective matter sector. We also obtain the conformal flatness by applying some restrictions on the considered model and taking dust configuration into the account. Finally, we investigate various cases to check whether the modified corrections increase or decrease the collapse rate.

23 pages, no figure

References in corpus (40)

• 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
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Extra force in $f(R)$ modified theories of gravity
• The Large Scale Structure of f(R) 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
• Construction of Charged Cylindrical Gravastar-like Structures
• The First Search for Gravitational Waves from Inspiraling Compact Binaries using TAMA300 data
• Spherical Collapse in f(R) Gravity
• Non-adiabatic charge pump: an exact solution
• Charged Cylindrical Collapse of Anisotropic Fluid
• Cylindrical Thin-shell Wormholes in $f(R)$ gravity
• 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
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• Dissipative Cylindrical Collapse of Charged Anisotropic Fluid
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• 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
• Effects of Electromagnetic Field on the Structure of Massive Compact Objects
• Detecting dark matter in electromagnetic field penetration experiments
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity

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