論文

査読有り
2007年9月

Black hole evaporation in an expanding universe

CLASSICAL AND QUANTUM GRAVITY
  • Hiromi Saida
  • ,
  • Tomohiro Harada
  • ,
  • Hideki Maeda

24
18
開始ページ
4711
終了ページ
4732
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/0264-9381/24/18/011
出版者・発行元
IOP PUBLISHING LTD

We calculate the quantum radiation power of black holes which are asymptotic to the Einstein - de Sitter universe at spatial and null infinities. We consider two limiting mass accretion scenarios, no accretion and significant accretion. We find that the radiation power strongly depends on not only the asymptotic condition but also the mass accretion scenario. For the no accretion case, we consider the Einstein - Straus solution, where a black hole of constant mass resides in the dust Friedmann universe. We find negative cosmological correction besides the expected redshift factor. This is given in terms of the cubic root of ratio in size of the black hole to the cosmological horizon, so that it is currently of order 10(-5)( M/10(6)M(circle dot))(1/3)(t/14Gyr)(-1/3) but could have been significant at the formation epoch of primordial black holes. Due to the cosmological effects, this black hole has not settled down to an equilibrium state. This cosmological correction may be interpreted in an analogy with the radiation from a moving mirror in a flat spacetime. For the significant accretion case, we consider the Sultana - Dyer solution, where a black hole tends to increase its mass in proportion to the cosmological scale factor. In this model, we find that the radiation power is apparently the same as the Hawking radiation from the Schwarzschild black hole of which mass is that of the growing mass at each moment. Hence, the energy loss rate decreases and tends to vanish as time proceeds. Consequently, the energy loss due to evaporation is insignificant compared to huge mass accretion onto the black hole. Based on this model, we propose a definition of quasi- equilibrium temperature for general conformal stationary black holes.


リンク情報
DOI
https://doi.org/10.1088/0264-9381/24/18/011
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000249221600012&DestApp=WOS_CPL
ID情報
  • DOI : 10.1088/0264-9381/24/18/011
  • ISSN : 0264-9381
  • Web of Science ID : WOS:000249221600012

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