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

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.044013· OSTI ID:21420950

Banerjee, Rabin; Majhi, Bibhas Ranjan ^[1]; Kiefer, Claus ^[2]

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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)

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.

• OSTI ID: 21420950
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevD.82.044013; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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