Quantum general relativity and Hawking radiation

Abstract

In a previous paper we have set up the Wheeler-DeWitt equation which describes the quantum general relativistic collapse of a spherical dust cloud. In the present paper we specialize this equation to the case of matter perturbations around a black hole, and show that in the WKB approximation, the wave-functional describes an eternal black hole in equilibrium with a thermal bath at Hawking temperature.

13 pages, minor revisions in: (i) para 5 of Introduction, (ii) para following Eqn. (10). Revised version to appear in Phys. Rev. D

References in corpus (4)

• Singularity avoidance by collapsing shells in quantum gravity
• Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
• Quantum Black Holes from Quantum Collapse
• Toward a Quantization of Null Dust Collapse

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• Tunnelling Methods and Hawking's radiation: achievements and prospects
• Singularity avoidance for collapsing quantum dust in the Lemaitre-Tolman-Bondi model
• Classical and quantum LTB model for the non-marginal case
• Quantization of Midisuperspace Models
• Hawking radiation from the quantum Lemaitre-Tolman-Bondi model
• Mass Spectrum and Statistical Entropy of the BTZ black hole from Canonical Quantum Gravity
• Volume average regularization for the Wheeler-DeWitt equation
• Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions
• Exact Quantum State of Collapse and Black Hole Radiation
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions
• Spectrum and Statistical Entropy of AdS Black Holes
• Canonical Quantization of Spherically Symmetric Dust Collapse
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime II. Quantum States and Hawking Radiation
• Tunneling during Quantum Collapse in AdS Spacetime
• Quantum Gravitational Collapse in the Lemaitre-Tolman-Bondi Model with a Positive Cosmological Constant
• Particle creation in (2+1) circular dust collapse
• Reflection and Transmission at the Apparent Horizon during Gravitational Collapse
• Infrared signatures of quantum bounce in a minisuperspace analysis of Lema\^ıtre-Tolman-Bondi dust collapse
• Signatures of an Emergent Gravity from Black Hole Entropy