Geometry and thermodynamics of coherent quantum black holes

In this paper, we present a quantum description of black holes given by coherent states of gravitons sourced by a matter core. The expected behavior 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 is also estimated by assuming that the mean-field approximation holds everywhere. These deviations from the classical black hole geometry can be viewed as quantum hair and will lead to a quantum corrected horizon radius and thermodynamics.

Automated summary

This paper presents a quantum description of black holes using coherent states of gravitons sourced by a matter core. While the expected behavior in the weak-field region outside the horizon is recovered with good approximation, the classical central singularity remains unresolved due to the finite size of the matter core and the absence of modes of arbitrarily short wavelengths in the coherent states. Quantum corrections in the interior and exterior are estimated using the mean-field approximation. These deviations from classical black hole geometry, known as quantum hair, result in a quantum corrected horizon radius and thermodynamics.