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

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

2007-12-10

arxiv.org/abs/0712.1413v2

Phys.Rev.D77:064012,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, sections on surface gravity removed, section on self similar solution expanded, appendix removed, references added.

Scientific paper

10.1103/PhysRevD.77.064012

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.

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