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 (4)

• Three-Dimensional Gravity Revisited
• Hawking radiation from the quantum Lemaitre-Tolman-Bondi model
• Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions
• Particle creation in (2+1) circular dust collapse

Cited by in corpus (3)

• 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
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime II. Quantum States and Hawking Radiation