Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions

Abstract

We study the collapse of a spherically symmetric dust distribution in $d$-dimensional AdS spacetime. We investigate the role of dimensionality, and the presence of a negative cosmological constant, in determining the formation of trapped surfaces and the end state of gravitational collapse. We obtain the self-similar solution for the case of zero cosmological constant, and show that one cannot construct a self-similar solution when a cosmological constant is included.

19 pages, sections on surface gravity removed, section on self similar solution expanded, appendix removed, references added. To appear in Phys. Rev.D

References in corpus (36)

• The Black Hole in Three Dimensional Space Time
• Three-Dimensional Gravity Revisited
• The Trouble with de Sitter Space
• Self-Similarity in General Relativity \endtitle
• Gravitationally Collapsing Dust in $(2+1)$ Dimensions
• Formation of Topological Black holes from Gravitational Collapse
• On the Role of Initial Data in the Gravitational Collapse of Inhomogeneous Dust
• Naked Singularities in Higher Dimensional Gravitational Collapse
• Classical and quantum LTB model for the non-marginal case
• Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
• Mass Quantization of the Schwarzschild Black Hole
• Higher dimensional inhomogeneous dust collapse and cosmic censorship
• Gravitational Collapse and Cosmological Constant
• Hawking radiation from the quantum Lemaitre-Tolman-Bondi model
• Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust
• Gravitationally Collapsing Shells in (2+1) Dimensions
• The Quantum Stress-Tensor in Self-Similar Spherical Dust Collapse
• Naked singularities and quantum gravity
• The Quantum States and the Statistical Entropy of the Charged Black Hole
• Gravitational collapse in asymptotically Anti-de Sitter/de Sitter backgrounds
• Spherical Dust Collapse in Higher Dimensions
• A simple derivation of the naked singularity in spherical dust collapse
• Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions
• Gravitational Collapse of Inhomogeneous Dust in (2+1) Dimensions
• Quantum general relativity and Hawking radiation
• Radiation flux and spectrum in the Vaidya collapse model
• Quantum Naked Singularities in 2d Dilaton Gravity
• Physical aspects of naked singularity explosion - How does a naked singularity explode? --
• Exact Quantum State of Collapse and Black Hole Radiation
• Null Geodesic Expansion in Spherical Gravitational Collapse
• Soliton Induced Singularities in 2 d Gravity and their Evaporation
• Divergence of the Quantum Stress Tensor on the Cauchy Horizon in 2-d Dust Collapse
• Quantum Radiation from Black Holes and Naked Singularities in Spherical Dust Collapse
• Particle creation in (2+1) circular dust collapse
• Classical and Quantum Aspects of Gravitation and Cosmology
• Dynamics and Thermodynamics of Blackholes and Naked Singularities

Cited by in corpus (11)

• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Mass Spectrum and Statistical Entropy of the BTZ black hole from Canonical Quantum Gravity
• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• Black holes as Gravitational Atoms
• Point-like sources and the scale of quantum gravity
• Spectrum and Statistical Entropy of AdS Black Holes
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime II. Quantum States and Hawking Radiation
• Tunneling during Quantum Collapse in AdS Spacetime
• Marginally trapped and anti-trapped surfaces for matter evolution in D-dimensions
• Maximal hypersurface in a D-dimensional dynamical spacetime
• Signatures of an Emergent Gravity from Black Hole Entropy