Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime II. Quantum States and Hawking Radiation
arXiv:0805.0519 · doi:10.1103/PhysRevD.78.024019
Abstract
In a previous paper we studied the collapse of a spherically symmetric dust distribution (marginally bound LTB) in d-dimensional AdS spacetime and obtained the condition for the formation of trapped surfaces. Here we extend the analysis by giving the canonical theory for the same and subsequently quantize the system by solving the Wheeler-DeWitt equation. We show that for the case of small dust perturbations around a black hole the wave functionals so obtained describe an AdS-Schwarzschild black hole in equilibrium with a thermal bath at Hawking temperature and show the non-trivial dependence of this temperature on the number of spacetime dimensions and the cosmological constant.
20 pages
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Cited by in corpus (10)
- Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
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- Point-like sources and the scale of quantum gravity
- Quantum gravitational correction to the Hawking temperature from the Lemaitre-Tolman-Bondi model
- Spectrum and Statistical Entropy of AdS Black Holes
- Canonical Quantization of Spherically Symmetric Dust Collapse
- Quantum gravitational dust collapse does not result in a black hole
- Quantum Gravitational Collapse in the Lemaitre-Tolman-Bondi Model with a Positive Cosmological Constant
- Tunneling during Quantum Collapse in AdS Spacetime
- Signatures of an Emergent Gravity from Black Hole Entropy