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Title: Pre-Hawking radiation cannot prevent the formation of apparent horizon

As an attempt to solve the black hole information loss paradox, recently there has been the suggestion that, due to semiclassical effects, a pre-Hawking radiation must exist during the gravitational collapse of matter, which in turn prevents the apparent horizon from forming. Assuming the pre-Hawking radiation does exist, here we argue the opposite. First we note that the stress energy tensor near the horizon for the pre-Hawking radiation is far too small to do anything to the motion of a collapsing shell. Thus the shell will always cross the apparent horizon within a finite proper time. Moreover, the amount of energy that can be radiated must be less than half of the total initial energy (if the particle starts at rest at infinity) before the shell becomes a null shell and cannot radiate any more without becoming tachyonic. Here, we conclude that for any gravitational collapsing process within Einstein gravity and semiclassical quantum field theory, the formation of the apparent horizon is inevitable. Pre-Hawking radiation is therefore not a valid solution to the information paradox.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. National Taiwan Univ., Taipei (Taiwan). Leung Center for Cosmology and Particle Astrophysics; National Taiwan Univ., Taipei (Taiwan). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology
  2. Univ. of British Columbia, Vancouver, BC (Canada). Dept. of Physics and Astronomy
  3. National Taiwan Univ., Taipei (Taiwan). Leung Center for Cosmology and Particle Astrophysics; National Taiwan Univ., Taipei (Taiwan). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
  4. National Taiwan Univ., Taipei (Taiwan). Leung Center for Cosmology and Particle Astrophysics; Asia Pacific Center for Theoretical Physics, Pohang (Republic of Korea); Postech, Pohan (Republic of Korea). Dept. of Physics
Publication Date:
Grant/Contract Number:
AC02-76SF00515; 103R4000; AC03-76SF00515
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE; National Taiwan University; Ministry of Science and Technology (MOST); Natural Sciences and Engineering Research Council of Canada (NSERC)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS
OSTI Identifier:
1436413
Alternate Identifier(s):
OSTI ID: 1430559

Chen, Pisin, Unruh, William G., Wu, Chih-Hung, and Yeom, Dong-Han. Pre-Hawking radiation cannot prevent the formation of apparent horizon. United States: N. p., Web. doi:10.1103/physrevd.97.064045.
Chen, Pisin, Unruh, William G., Wu, Chih-Hung, & Yeom, Dong-Han. Pre-Hawking radiation cannot prevent the formation of apparent horizon. United States. doi:10.1103/physrevd.97.064045.
Chen, Pisin, Unruh, William G., Wu, Chih-Hung, and Yeom, Dong-Han. 2018. "Pre-Hawking radiation cannot prevent the formation of apparent horizon". United States. doi:10.1103/physrevd.97.064045. https://www.osti.gov/servlets/purl/1436413.
@article{osti_1436413,
title = {Pre-Hawking radiation cannot prevent the formation of apparent horizon},
author = {Chen, Pisin and Unruh, William G. and Wu, Chih-Hung and Yeom, Dong-Han},
abstractNote = {As an attempt to solve the black hole information loss paradox, recently there has been the suggestion that, due to semiclassical effects, a pre-Hawking radiation must exist during the gravitational collapse of matter, which in turn prevents the apparent horizon from forming. Assuming the pre-Hawking radiation does exist, here we argue the opposite. First we note that the stress energy tensor near the horizon for the pre-Hawking radiation is far too small to do anything to the motion of a collapsing shell. Thus the shell will always cross the apparent horizon within a finite proper time. Moreover, the amount of energy that can be radiated must be less than half of the total initial energy (if the particle starts at rest at infinity) before the shell becomes a null shell and cannot radiate any more without becoming tachyonic. Here, we conclude that for any gravitational collapsing process within Einstein gravity and semiclassical quantum field theory, the formation of the apparent horizon is inevitable. Pre-Hawking radiation is therefore not a valid solution to the information paradox.},
doi = {10.1103/physrevd.97.064045},
journal = {Physical Review D},
number = 6,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}