Open AccessBlack Hole Radiation inside Apparent Horizon in Quantum Gravity
Author(s) -
Akio Hosoya,
Ichiro Oda
Publication year - 1997
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.97.233
Subject(s) - physics , hawking radiation , black hole (networking) , event horizon , extremal black hole , quantum gravity , white hole , micro black hole , cosmic censorship hypothesis , semiclassical gravity , horizon , black hole thermodynamics , black hole information paradox , classical mechanics , semiclassical physics , rotating black hole , quantum mechanics , quantum , general relativity , entropy (arrow of time) , quantum dynamics , gravitational collapse , quantum process , link state routing protocol , computer network , routing protocol , routing (electronic design automation) , astronomy , computer science
We study a black hole radiation inside the apparent horizon in quantumgravity. First we perform a canonical quantization for spherically symmetricgeometry where one of the spatial coordinates is dealt as the time variablesince we would like to consider the interior region of a black hole. Next thisrather general formalism is applied for a specific model where the ingoingVaidya metric is used as a simple model of an evaporating black hole. FollowingTomimatsu's idea, we will solve analytically the Wheeler-DeWitt equation in thevicinity of the apparent horizon and see that mass-loss rate of a black hole bythermal radiation is equal to the result obtained by Hawking in hissemiclassical treatment. The present formalism may have a wide application inquantum gravity inside the horizon of a black hole such as mass inflation andstrong cosmic censorship etc.Comment: 13 pages, phyzz
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