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

TL;DR

This paper derives quantum gravitational corrections to Hawking temperature using the Lemaitre-Tolman-Bondi model, linking these corrections to trace anomalies and advancing understanding of quantum effects in black hole thermodynamics.

Contribution

It provides a semiclassical derivation of quantum gravitational corrections to Hawking temperature within the LTB model, connecting to trace anomaly calculations.

Findings

Standard Hawking temperature recovered

First quantum gravitational correction derived

Correction linked to trace anomaly

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.