論文

査読有り
2006年10月

Is there a black hole minimum mass?

PHYSICAL REVIEW D
  • Tomohiro Harada

74
8
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevD.74.084004
出版者・発行元
AMERICAN PHYSICAL SOC

Applying the first and generalized second laws of thermodynamics for a realistic process of near critical black hole formation, we derive an entropy bound, which is identical to Bekenstein's one for radiation. Relying upon this bound, we derive an absolute minimum mass similar to 0.04 root g(*)m(Pl), where g(*) and m(Pl) is the effective degrees of freedom for the initial temperature and the Planck mass, respectively. Since this minimum mass coincides with the lower bound on masses of which black holes can be regarded as classical against the Hawking evaporation, the thermodynamical argument will not prohibit the formation of the smallest classical black hole. For more general situations, we derive a minimum mass, which may depend on the initial value for entropy per particle. For primordial black holes, however, we show that this minimum mass can not be much greater than the Planck mass at any formation epoch of the Universe, as long as g(*) is within a reasonable range. We also derive a size-independent upper bound on the entropy density of a stiff fluid in terms of the energy density.


リンク情報
DOI
https://doi.org/10.1103/PhysRevD.74.084004
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000241724000043&DestApp=WOS_CPL
ID情報
  • DOI : 10.1103/PhysRevD.74.084004
  • ISSN : 1550-7998
  • Web of Science ID : WOS:000241724000043

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