Loop quantum deparametrized Schwarzschild interior and discrete black hole mass

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.

19+12 pages, 2 figures, derivations on the regularized Hamiltonian is added and the classical dynamics is plotted in Fig. 1