Black hole physics from two-dimensional dilaton gravity based on the SL(2,[ital R])/U(1) coset model
- Department of Mathematics and Physics, National Defense Academy, Hashirimizu, Yokosuka 239 (Japan)
- Institute for Nuclear Study, University of Tokyo, 3-2-1 Midori-cho, Tanashi-shi, Tokyo 188 (Japan) Faculty of Science, Department of Physics, Ochanomizu University, 1-1, Otsuka 2, Bunkyo-ku, Tokyo 112 (Japan)
We analyze the quantum two-dimensional dilaton gravity model, which is described by the SL(2,[ital R])/U(1) gauged Wess-Zumino-Witten model deformed by a (1,1) operator. We show that the curvature singularity does not appear when the central charge [ital c][sub matter] of the matter fields is given by 22[lt][ital c][sub matter][lt]24. When 22[lt][ital c][sub matter][lt]24, the matter shock waves, whose energy-momentum tensors are given by [ital T][sub matter][proportional to][delta]([ital x][sup +][minus][ital x][sub 0][sup +]), create a kind of wormholes, i.e., causally disconnected regions. Most of the quantum information in past null infinity is lost in future null infinity but the lost information would be carried by the wormholes. We also discuss the problem of defining the mass of quantum black holes. On the basis of the argument by Regge and Teitelboim, we show that the ADM mass measured by the observer who lives in one of the asymptotically flat regions is finite and does not vanish in general. On the other hand, the Bondi mass is ill defined in this model. Instead of the Bondi mass, we consider the mass measured by observers who live in an asymptotically flat region at first. A class of observers finds the mass of the black hole created by a shock wave changes as the observers' proper time goes by, i.e., they observe Hawking radiation. The measured mass vanishes after the infinite proper time and the black hole evaporates completely. Therefore the total Hawking radiation is positive even when [ital N][lt]24.
- OSTI ID:
- 5016229
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 49:8; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM GRAVITY
BLACK HOLES
TWO-DIMENSIONAL CALCULATIONS
ENERGY-MOMENTUM TENSOR
MASS
SHOCK WAVES
SINGULARITY
FIELD THEORIES
QUANTUM FIELD THEORY
TENSORS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661310 - Relativity & Gravitation- (1992-)