Loop quantum deparametrized Schwarzschild interior and discrete black hole mass

TL;DR

This paper analyzes a loop quantum gravity model of the Schwarzschild black hole interior, demonstrating a discrete, non-zero black hole mass spectrum and the existence of stable black hole remnants after evaporation.

Contribution

It extends previous work to more general schemes, showing the discrete mass spectrum and stable remnants in loop quantum gravity models of black holes.

Findings

Black hole mass spectrum is discrete and non-zero.

Stable black hole remnants are predicted after evaporation.

Quantum dynamics align with effective models in non-vacuum cases.

Abstract

We present the detailed analyses of a model of loop quantum Schwarzschild interior coupled to a massless scalar field and extend the results in our previous rapid communication arXiv:2006.08313 to more general schemes. It is shown that the spectrum of the black hole mass is discrete and does not contain zero. This indicates the existence of a black hole remnant after Hawking evaporation due to loop quantum gravity effects. Besides to show the existence of a stable black hole remnant in the vacuum case, the quantum dynamics for the non-vacuum case is also solved and compared with the effective one.