Gravitational Collapse: Expanding and Collapsing Regions

Abstract

We investigate the expanding and collapsing regions by taking two well-known spherically symmetric spacetimes. For this purpose, the general formalism is developed by using Israel junction conditions for arbitrary spacetimes. This has been used to obtain the surface energy density and the tangential pressure. The minimal pressure provides the gateway to explore the expanding and collapsing regions. We take Minkowski and Kantowski-Sachs spacetimes and use the general formulation to investigate the expanding and collapsing regions of the shell.

12 pages, 4 figures, accepted for publication in Gen. Relativ. Grav

References in corpus (15)

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• Quasi-spherical collapse with cosmological constant
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• Gravitational Collapse of Perfect Fluid
• Plane Symmetric Gravitational Collapse
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• Junction Conditions and Consequences of Quasi-Spherical Space-Time with Electro-Magnetic Field and Vaidya Matric
• Higher dimensional dust collapse with a cosmological constant

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• Stability of Charged Thin-Shell Gravastars with Quintessence
• Dynamics of Scalar Thin-Shell for a Class of Regular Black Holes
• Expanding and Collapsing Scalar Field Thin Shell
• 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
• Charged Anisotropic Spherical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Non-Commutative Correction to Thin Shell Collapse in Reissner Nordstr$\ddot{o}$m Geometry