Geometry and thermodynamics of coherent quantum black holes

TL;DR

This paper develops a quantum model of black holes using graviton coherent states, capturing classical behavior outside the horizon while introducing quantum corrections that modify the horizon and thermodynamics.

Contribution

It introduces a coherent state framework for quantum black holes that accounts for quantum hair and horizon corrections, bridging classical and quantum descriptions.

Findings

Classical behavior is recovered outside the horizon.

Quantum corrections lead to modified horizon radius.

Quantum hair affects black hole thermodynamics.

Abstract

We present a quantum description of black holes given by coherent states of gravitons sourced by a matter core. The expected behaviour in the weak-field region outside the horizon is recovered, with arbitrarily good approximation, but the classical central singularity is not resolved because the coherent states may not contain modes of arbitrarily short wavelength and the matter core must therefore have finite size. Ensuing quantum corrections both in the interior and exterior are also estimated by assuming the mean-field approximation holds everywhere. These deviations from the classical black hole geometry can be viewed as quantum hair and lead to a quantum corrected horizon radius and thermodynamics.