Hawking radiation from the quantum Lemaitre-Tolman-Bondi model

Abstract

In an earlier paper, we obtained exact solutions of the Wheeler-DeWitt equation for the Lemaitre-Tolman-Bondi (LTB) model of gravitational collapse, employing a lattice regularization. In this paper, we derive Hawking radiation in non-marginally bound models from our exact solutions. We show that a non-vanishing energy function does not spoil the (approximate) Planck spectrum near the horizon. We can also reliably compute corrections to the Bogoliubov coefficient because our solutions are exact. The corrections are obtained by going beyond the near horizon region and are shown to introduce additional greybody factors, which modify the black body spectrum of radiation from the black hole.

arXiv comment14 pages

References in corpus (11)

• Geometrodynamics of Schwarzschild Black Holes
• Regular coordinate systems for Schwarzschild and other spherical spacetimes
• The Final Fate of Spherical Inhomogeneous Dust Collapse
• On the Role of Initial Data in the Gravitational Collapse of Inhomogeneous Dust
• Classical and quantum LTB model for the non-marginal case
• Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
• Mass Quantization of the Schwarzschild Black Hole
• The Quantum States and the Statistical Entropy of the Charged Black Hole
• Quantum Black Holes from Quantum Collapse
• Quantum general relativity and Hawking radiation
• Exact Quantum State of Collapse and Black Hole Radiation

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