Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
General Relativity and Quantum Cosmology
2022-02-09 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2107.10579,
title = {Loop quantum deparametrized Schwarzschild interior and discrete black hole mass},
author = {Cong Zhang and Yongge Ma and Shupeng Song and Xiangdong Zhang},
journal= {arXiv preprint arXiv:2107.10579},
year = {2022}
}
Comments
19+12 pages, 2 figures, derivations on the regularized Hamiltonian is added and the classical dynamics is plotted in Fig. 1