Gravitationally Collapsing Shells in (2+1) Dimensions

Abstract

We study gravitationally collapsing models of pressureless dust, fluids with pressure, and the generalized Chaplygin gas (GCG) shell in (2+1)-dimensional spacetimes. Various collapse scenarios are investigated under a variety of the background configurations such as anti-de Sitter(AdS) black hole, de Sitter (dS) space, flat and AdS space with a conical deficit. As with the case of a disk of dust, we find that the collapse of a dust shell coincides with the Oppenheimer-Snyder type collapse to a black hole provided the initial density is sufficiently large. We also find -- for all types of shell -- that collapse to a naked singularity is possible under a broad variety of initial conditions. For shells with pressure this singularity can occur for a finite radius of the shell. We also find that GCG shells exhibit diverse collapse scenarios, which can be easily demonstrated by an effective potential analysis.

27 pages, Latex, 11 figures, typos corrected, references added, minor amendments in introduction and conclusion introdu

References in corpus (11)

• Role of Modified Chaplygin Gas in Accelerated Universe
• Chaplygin traversable wormholes
• Inflation in AdS/CFT
• Interacting Chaplygin gas
• Generalizing the generalized Chaplygin gas
• Spherical gravitational collapse in N-dimensions
• Generalized Chaplygin Gas in a modified gravity approach
• Generalized Chaplygin gas model, supernovae and cosmic topology
• Gravitational Collapse of Inhomogeneous Dust in (2+1) Dimensions
• Role of Modified Chaplygin Gas as a Dark Energy Model in Collapsing Spherically Symmetric Cloud
• Transient acceleration from a hybrid Chaplygin gas

Cited by in corpus (32)

• Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
• General formalism for the stability of thin-shell wormholes in 2+1 dimensions
• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• Stability of charged thin-shell wormholes in (2 + 1) dimensions
• Plane Symmetric Gravitational Collapse
• Dynamical formation and evolution of (2+1)-dimensional charged black holes
• Dynamics of false vacuum bubbles with nonminimal coupling
• Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions
• Dynamics of magnetic shells and information loss problem
• Entropy of thin shells in a (2+1)-dimensional asymptotically AdS spacetime and the BTZ black hole limit
• Charged shells in a (2+1)-dimensional spacetime
• Expanding and Collapsing Scalar Field Thin Shell
• Stationary bubbles and their tunneling channels toward trivial geometry
• Vacuum shell in the Schwarzschild-de Sitter world
• Charge screening by thin-shells in a 2+1-dimensional regular black hole
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions
• Thermodynamics, entropy, and stability of thin shells in 2+1 flat spacetimes
• Gravitational Collapse of the Shells with the Smeared Gravitational Source in Noncommutative Geometry
• Particle creation in (2+1) circular dust collapse
• Long String Dynamics in Pure Gravity on AdS${}_3$
• More on Long String Dynamics in Gravity on AdS3: Spinning Strings and Rotating BTZ
• Quantum collapse of dust shells in 2+1 gravity
• Self-gravitating clouds of generalized Chaplygin and modified anti-Chaplygin Gases
• Rotating thin shells in (2+1)-dimensional asymptotically AdS spacetimes: Mechanical properties, Machian effects, and energy conditions
• Non-Commutative Correction to Thin Shell Collapse in Reissner Nordstr$\ddot{o}$m Geometry
• Formation of Three-Dimensional Black Strings from Gravitational Collapse of Dust Cloud
• Gravitational collapse of a circularly symmetric star
• Domain-Walls in Einstein-Gauss-Bonnet Bulk
• Specific dynamics for the Domain-Walls in Einstein-Maxwell-Dilaton theory
• C-metric in a (nut)shell
• Quantum radiation of a collapsing shell in three-dimensional AdS spacetime revisited
• The two-body problem in 2+1 spacetime dimensions with negative cosmological constant: two point particles