Black Hole Radiation inside Apparent Horizon in Quantum Gravity
Abstract
We study a black hole radiation inside the apparent horizon in quantum gravity. First we perform a canonical quantization for spherically symmetric geometry where one of the spatial coordinates is dealt as the time variable since we would like to consider the interior region of a black hole. Next this rather general formalism is applied for a specific model where the ingoing Vaidya metric is used as a simple model of an evaporating black hole. Following Tomimatsu's idea, we will solve analytically the Wheeler-DeWitt equation in the vicinity of the apparent horizon and see that mass-loss rate of a black hole by thermal radiation is equal to the result obtained by Hawking in his semiclassical treatment. The present formalism may have a wide application in quantum gravity inside the horizon of a black hole such as mass inflation and strong cosmic censorship etc.
Cite
@article{arxiv.gr-qc/9610055,
title = {Black Hole Radiation inside Apparent Horizon in Quantum Gravity},
author = {Akio Hosoya and Ichiro Oda},
journal= {arXiv preprint arXiv:gr-qc/9610055},
year = {2009}
}
Comments
13 pages, phyzzx