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.

7 pages, final version

References in corpus (8)

• Quantum Tunneling Beyond Semiclassical Approximation
• Fermion Tunneling Beyond Semiclassical Approximation
• Quantum Tunneling and Trace Anomaly
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• Hawking radiation from the quantum Lemaitre-Tolman-Bondi model
• Mass Spectrum and Statistical Entropy of the BTZ black hole from Canonical Quantum Gravity
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime II. Quantum States and Hawking Radiation
• Quantum Gravitational Collapse in the Lemaitre-Tolman-Bondi Model with a Positive Cosmological Constant

Cited by in corpus (18)

• Tunnelling Methods and Hawking's radiation: achievements and prospects
• Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation
• Exact Hawking Radiation of Scalars, Fermions, and Bosons Using the Tunneling Method Without Back-Reaction
• Singularity avoidance for collapsing quantum dust in the Lemaitre-Tolman-Bondi model
• Remarks on remnants by fermions' tunnelling from black strings
• Hawking radiation as tunneling from squashed Kaluza-Klein black hole
• Fokker-Planck equation for black holes in thermal potential
• Hawking radiation of scalar particles from accelerating and rotating black holes
• Thermodynamics of Sultana-Dyer Black Hole
• Hawking-Like Radiation as Tunneling from a Cosmological Black Hole in Modified Gravity: Semiclassical Approximation and Beyond
• Stress-energy tensor of the quantized massive fields in Schwarzschild-Tangherlini spacetimes. The back reaction
• Reflection and Transmission at the Apparent Horizon during Gravitational Collapse
• Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
• Infrared signatures of quantum bounce in a minisuperspace analysis of Lema\^ıtre-Tolman-Bondi dust collapse
• Initiating the effective unification of black hole horizon area and entropy quantization with quasi-normal modes
• Information conservation in de Sitter tunneling
• The Accurate Modification of Tunneling Radiation of Fermions with Arbitrary Spin in Kerr-de Sitter Black Hole Space-time
• Scalar particles tunneling radiation in the Demianski-Newman spacetime with influences of quantum gravity