Plane Symmetric Gravitational Collapse

Abstract

In this paper, we derive the general formulation by considering two arbitrary plane symmetric spacetimes using Israel's method. As an example, we apply this formulation to known plane symmetric spacetimes. We take the Taub's static metric in the interior region whereas Kasner's non-static metric in the exterior region. It is shown that the plane collapses in some cases whereas it expands in some other cases.

10 pages, accepted for publication in Int. J. Mod. Phys. A

References in corpus (16)

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• Gravitationally Collapsing Dust in $(2+1)$ Dimensions
• Formation of Topological Black holes from Gravitational Collapse
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• Gravitationally Collapsing Shells in (2+1) Dimensions
• Quasi-spherical collapse with cosmological constant
• Gravitational collapse in asymptotically Anti-de Sitter/de Sitter backgrounds
• Non-adiabatic collapse of a quasi-spherical radiating star
• Gravitational Collapse of Perfect Fluid
• Gravitational dust collapse with cosmological constant
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Cited by in corpus (12)

• Effects of Electromagnetic Field on Gravitational Collapse
• Effects of f(R) Dark Energy on Dissipative Anisotropic Collapsing Fluid
• Dynamics of Charged Plane Symmetric Gravitational Collapse
• Dynamics of Scalar Thin-Shell for a Class of Regular Black Holes
• Gravitational Collapse: Expanding and Collapsing Regions
• Gravitational Charged Perfect Fluid Collapse in Friedmann Universe Models
• Dynamics of Viscous Dissipative Plane Symmetric Gravitational Collapse
• Gravitational Dust Collapse in $f(R)$ Gravity
• Expanding and Collapsing Scalar Field Thin Shell
• Spherically Symmetric Gravitational Collapse
• Non-Commutative Correction to Thin Shell Collapse in Reissner Nordstr$\ddot{o}$m Geometry
• Spherical Symmetric Gravitational Collapse in Chern-Simon Modified Gravity