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Title: Black-hole evaporation and ultrashort distances

Abstract

The role played by ultrahigh frequencies of ultrashort distances in the usual derivations of the Hawking effect is discussed and criticized. The question would a blackhole radiate if there were a Planck scale cutoff in the rest frame of the hole '' is posed. Guidance is sought from Unruh's fluid-flow analogue of black-hole radiation, by taking into account the atomic nature of the fluid. Two arguments for black-hole radiation are given which assume a Planck length cutoff. One involves the response of static accelerated detectors outside the horizon, and the other involves conservation of the expectation value of the stress tensor. Neither argument is conclusive, but they do strongly suggest that, in spite of reasonable doubt about the usual derivations of black-hole radiation, a safe'' derivation which avoids our ignorance of ultrashort-distance physics can likely be formulated. Remaining open questions are discussed.

Authors:
 [1]
  1. (Department of Physics, University of Maryland, College Park, Maryland (USA))
Publication Date:
OSTI Identifier:
5224851
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 44:6; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; EVAPORATION; BOUNDARY CONDITIONS; EQUIVALENCE PRINCIPLE; QUANTUM FIELD THEORY; SCHWARZSCHILD RADIUS; SPACE-TIME; THERMODYNAMIC PROPERTIES; TIME DEPENDENCE; VACUUM STATES; FIELD THEORIES; PHASE TRANSFORMATIONS; PHYSICAL PROPERTIES; 640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources; 645400 - High Energy Physics- Field Theory

Citation Formats

Jacobson, T. Black-hole evaporation and ultrashort distances. United States: N. p., 1991. Web. doi:10.1103/PhysRevD.44.1731.
Jacobson, T. Black-hole evaporation and ultrashort distances. United States. doi:10.1103/PhysRevD.44.1731.
Jacobson, T. Sun . "Black-hole evaporation and ultrashort distances". United States. doi:10.1103/PhysRevD.44.1731.
@article{osti_5224851,
title = {Black-hole evaporation and ultrashort distances},
author = {Jacobson, T.},
abstractNote = {The role played by ultrahigh frequencies of ultrashort distances in the usual derivations of the Hawking effect is discussed and criticized. The question would a blackhole radiate if there were a Planck scale cutoff in the rest frame of the hole '' is posed. Guidance is sought from Unruh's fluid-flow analogue of black-hole radiation, by taking into account the atomic nature of the fluid. Two arguments for black-hole radiation are given which assume a Planck length cutoff. One involves the response of static accelerated detectors outside the horizon, and the other involves conservation of the expectation value of the stress tensor. Neither argument is conclusive, but they do strongly suggest that, in spite of reasonable doubt about the usual derivations of black-hole radiation, a safe'' derivation which avoids our ignorance of ultrashort-distance physics can likely be formulated. Remaining open questions are discussed.},
doi = {10.1103/PhysRevD.44.1731},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 44:6,
place = {United States},
year = {1991},
month = {9}
}