Abstract
In an earlier work, Kawai et al. proposed a model of black-hole formation and evaporation, in which the geometry of a collapsing shell of null dust is studied, including consistently the back reaction of its Hawking radiation. In this note, we illuminate the implications of their work, focusing on the resolution of the information loss paradox and the problem of the firewall.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.W. Hawking, Breakdown of Predictability in Gravitational Collapse, Phys. Rev. D 14 (1976) 2460 [INSPIRE].
S.D. Mathur, The information paradox: A pedagogical introduction, Class. Quant. Grav. 26 (2009) 224001 [arXiv:0909.1038] [INSPIRE].
L. Susskind, L. Thorlacius and J. Uglum, The stretched horizon and black hole complementarity, Phys. Rev. D 48 (1993) 3743 [hep-th/9306069] [INSPIRE].
G. ’t Hooft, On the Quantum Structure of a Black Hole, Nucl. Phys. B 256 (1985) 727 [INSPIRE].
H. Kawai, Y. Matsuo and Y. Yokokura, A Self-consistent Model of the Black Hole Evaporation, Int. J. Mod. Phys. A 28 (2013) 1350050 [arXiv:1302.4733] [INSPIRE].
C.G. Callan Jr., S.B. Giddings, J.A. Harvey and A. Strominger, Evanescent black holes, Phys. Rev. D 45 (1992) 1005 [hep-th/9111056] [INSPIRE].
C. Barcelo, S. Liberati, S. Sonego and M. Visser, Fate of gravitational collapse in semiclassical gravity, Phys. Rev. D 77 (2008) 044032 [arXiv:0712.1130] [INSPIRE].
A. Almheiri, D. Marolf, J. Polchinski and J. Sully, Black Holes: Complementarity or Firewalls?, JHEP 02 (2013) 062 [arXiv:1207.3123] [INSPIRE].
S.L. Braunstein, S. Pirandola and K. Życzkowski, Better Late than Never: Information Retrieval from Black Holes, Phys. Rev. Lett. 110 (2013) 101301 [arXiv:0907.1190] [INSPIRE].
H. Kawai and Y. Yokokura, Phenomenological Description of the Interior of the Schwarzschild Black Hole, Int. J. Mod. Phys. A 30 (2015) 1550091 [arXiv:1409.5784] [INSPIRE].
P. Vaidya, The Gravitational Field of a Radiating Star, Proc. Indian Acad. Sci. A 33 (1951) 264.
W.A. Hiscock, Models of Evaporating Black Holes, Phys. Rev. D 23 (1981) 2813 [INSPIRE].
Y. Kuroda, Vaidya space-time as an evaporating black hole, Prog. Theor. Phys. 71 (1984) 1422 [INSPIRE].
P. Hajicek, On the Origin of Hawking Radiation, Phys. Rev. D 36 (1987) 1065 [INSPIRE].
M. Visser, Essential and inessential features of Hawking radiation, Int. J. Mod. Phys. D 12 (2003) 649 [hep-th/0106111] [INSPIRE].
C. Barcelo, S. Liberati, S. Sonego and M. Visser, Quasi-particle creation by analogue black holes, Class. Quant. Grav. 23 (2006) 5341 [gr-qc/0604058] [INSPIRE].
C. Barcelo, S. Liberati, S. Sonego and M. Visser, Hawking-like radiation does not require a trapped region, Phys. Rev. Lett. 97 (2006) 171301 [gr-qc/0607008] [INSPIRE].
C. Barcelo, S. Liberati, S. Sonego and M. Visser, Minimal conditions for the existence of a Hawking-like flux, Phys. Rev. D 83 (2011) 041501 [arXiv:1011.5593] [INSPIRE].
C. Barcelo, S. Liberati, S. Sonego and M. Visser, Hawking-like radiation from evolving black holes and compact horizonless objects, JHEP 02 (2011) 003 [arXiv:1011.5911] [INSPIRE].
P. Chen, Y.C. Ong and D.-h. Yeom, Black Hole Remnants and the Information Loss Paradox, arXiv:1412.8366 [INSPIRE].
L. Mersini-Houghton, Backreaction of Hawking Radiation on a Gravitationally Collapsing Star I: Black Holes?, arXiv:1406.1525 [INSPIRE].
L. Mersini-Houghton and H.P. Pfeiffer, Back-reaction of the Hawking radiation flux on a gravitationally collapsing star II, arXiv:1409.1837 [INSPIRE].
F. Fayos and R. Torres, Local behaviour of evaporating stars and black holes around the total evaporation event, Class. Quant. Grav. 27 (2010) 125011 [INSPIRE].
M. O’Loughlin, Linear mass Vaidya metric at the end of black hole evaporation, Phys. Rev. D 91 (2015) 044020 [arXiv:1312.4702] [INSPIRE].
O. Lunin and S.D. Mathur, AdS/CFT duality and the black hole information paradox, Nucl. Phys. B 623 (2002) 342 [hep-th/0109154] [INSPIRE].
O. Lunin and S.D. Mathur, Statistical interpretation of Bekenstein entropy for systems with a stretched horizon, Phys. Rev. Lett. 88 (2002) 211303 [hep-th/0202072] [INSPIRE].
B.R. Iyer and C.V. Vishveshwara, The Vaidya Solution in Higher Dimensions, Pramana 32 (1989) 749.
A. Wang and Y. Wu, Generalized Vaidya solutions, Gen. Rel. Grav. 31 (1999) 107 [gr-qc/9803038] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1505.02468
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Ho, PM. Comment on self-consistent model of black hole formation and evaporation. J. High Energ. Phys. 2015, 96 (2015). https://doi.org/10.1007/JHEP08(2015)096
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2015)096