Charged Cylindrical Collapse of Anisotropic Fluid

Abstract

Following the scheme developed by Misner and Sharp, we discuss the dynamics of gravitational collapse. For this purpose, an interior cylindrically symmetric spacetime is matched to an exterior charged static cylindrically symmetric spacetime using the Darmois matching conditions. Dynamical equations are obtained with matter dissipating in the form of shear viscosity. The effect of charge and dissipative quantities over the cylindrical collapse are studied. Finally, we show that homogeneity in energy density and conformal flatness of spacetime are necessary and sufficient for each other.

19 pages, accepted for publication in Gen. Relativ. Grav

References in corpus (11)

• Dynamics of viscous dissipative gravitational collapse: A full causal approach
• Shear-free radiating collapse and conformal flatness
• Gravitational waves, black holes and cosmic strings in cylindrical symmetry
• The inertia of heat and its role in the dynamics of dissipative collapse
• Shear-free and homology conditions for self-gravitating dissipative fluids
• Gravitational Perfect Fluid Collapse With Cosmological Constant
• Static cylindrical symmetry and conformal flatness
• Effects of Electromagnetic Field on Gravitational Collapse
• High-Speed Cylindrical Collapse of Two Perfect Fluids
• Dynamics of Viscous Dissipative Plane Symmetric Gravitational Collapse
• Junction Conditions and Consequences of Quasi-Spherical Space-Time with Electro-Magnetic Field and Vaidya Matric

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• Structure Scalars In Charged Plane Symmetry
• Expansion-free Cylindrically Symmetric Models
• Space-time inhomogeneity, anisotropy and gravitational collapse
• Dynamics of Non-adiabatic Charged Cylindrical Gravitational Collapse
• Effects of Electromagnetic Field on the Dynamical Instability of Expansionfree Gravitational Collapse
• Dissipative Cylindrical Collapse of Charged Anisotropic Fluid
• Dynamics of Shearfree Dissipative Collapse in f(G) Gravity
• Dynamics of Charged Bulk Viscous Collapsing Cylindrical Source With Heat Flux
• Charged Cylindrical Polytropes with Generalized Polytropic Equation of State
• Collapse of a relativistic self-gravitating star with radial heat flux: Impact of anisotropic stresses
• Effects of Electromagnetic Field on Energy Density Inhomogeneity in Self-Gravitating Fluids
• Expansionfree Fluid Evolution and Skripkin Model in f(R) Theory
• Influence of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity on Cylindrical Collapse
• Study of Charged Cylindrical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Complexity for Dynamical Anisotropic Sphere in f(G,T) Gravity
• Charged Anisotropic Spherical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Gravitational Binding Energy in Charged Cylindrical Symmetry
• Dynamics of Charged Viscous Dissipative Cylindrical Collapse With Full Causal Approach
• Cylindrically symmetric models of gravitational collapse to black holes: a short review
• Cylinder with Charged Anisotropic Source
• Dissipative Viscous Cylindrical Collapse in $f(R)$ Gravity With Full Causal Approach