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Title: Quantum gravitational correction to the Hawking temperature from the Lemaitre-Tolman-Bondi model

Abstract

We solve the quantum constraint equations of the Lemaitre-Tolman-Bondi model in a semiclassical approximation in which an expansion is performed with respect to the Planck length. We recover in this way the standard expression for the Hawking temperature as well as its first quantum gravitational correction. We then interpret this correction in terms of the one-loop trace anomaly of the energy-momentum tensor and thereby make contact with earlier work on quantum black holes.

Authors:
;  [1];  [2]
  1. S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata-700098 (India)
  2. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Koeln (Germany)
Publication Date:
OSTI Identifier:
21420950
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 82; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.82.044013; (c) 2010 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; CORRECTIONS; ENERGY-MOMENTUM TENSOR; EQUATIONS; QUANTUM GRAVITY; SEMICLASSICAL APPROXIMATION; SIMULATION; APPROXIMATIONS; CALCULATION METHODS; FIELD THEORIES; QUANTUM FIELD THEORY; TENSORS

Citation Formats

Banerjee, Rabin, Majhi, Bibhas Ranjan, and Kiefer, Claus. Quantum gravitational correction to the Hawking temperature from the Lemaitre-Tolman-Bondi model. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.044013.
Banerjee, Rabin, Majhi, Bibhas Ranjan, & Kiefer, Claus. Quantum gravitational correction to the Hawking temperature from the Lemaitre-Tolman-Bondi model. United States. https://doi.org/10.1103/PHYSREVD.82.044013
Banerjee, Rabin, Majhi, Bibhas Ranjan, and Kiefer, Claus. 2010. "Quantum gravitational correction to the Hawking temperature from the Lemaitre-Tolman-Bondi model". United States. https://doi.org/10.1103/PHYSREVD.82.044013.
@article{osti_21420950,
title = {Quantum gravitational correction to the Hawking temperature from the Lemaitre-Tolman-Bondi model},
author = {Banerjee, Rabin and Majhi, Bibhas Ranjan and Kiefer, Claus},
abstractNote = {We solve the quantum constraint equations of the Lemaitre-Tolman-Bondi model in a semiclassical approximation in which an expansion is performed with respect to the Planck length. We recover in this way the standard expression for the Hawking temperature as well as its first quantum gravitational correction. We then interpret this correction in terms of the one-loop trace anomaly of the energy-momentum tensor and thereby make contact with earlier work on quantum black holes.},
doi = {10.1103/PHYSREVD.82.044013},
url = {https://www.osti.gov/biblio/21420950}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 82,
place = {United States},
year = {Sun Aug 15 00:00:00 EDT 2010},
month = {Sun Aug 15 00:00:00 EDT 2010}
}