Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions
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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
19 pages, sections on surface gravity removed, section on self similar solution expanded, appendix removed, references added. To appear in Phys. Rev.D