論文

査読有り
2000年

Power, energy, and spectrum of a naked singularity explosion

Physical Review D - Particles, Fields, Gravitation and Cosmology
  • Tomohiro Harada

62
8
開始ページ
17
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevD.62.084037

It is well known that a naked singularity occurs in the gravitational collapse of an inhomogeneous dust ball from an initial density profile which is physically reasonable. In this paper we show that explosive radiation is emitted during the formation process of the naked singularity while we fix the background spacetime. The energy flux is proportional to (Formula presented) for a minimally coupled massless scalar field, while it is proportional to (Formula presented) for a conformally coupled massless scalar field, where (Formula presented) is the “remaining time” until the distant observer could observe the singularity if the naked singularity was formed. As a consequence, the radiated energy grows unboundedly for both scalar fields. The amount of the power and energy depends on the parameters which characterize the initial density profile but do not depend on the gravitational mass of the cloud. In particular, there is a characteristic frequency (Formula presented) of the singularity above which the divergent energy is radiated. The energy flux is dominated by particles of which the wavelength is about (Formula presented) at each moment. The observed total spectrum is nonthermal, i.e., (Formula presented) for (Formula presented) If the naked singularity formation could continue until a considerable fraction of the total energy of the dust cloud is radiated, the radiated energy would reach about (Formula presented) The calculations are based on the geometrical optics approximation which turns out to be consistent for a rough order estimate. The analysis does not depend on whether or not the naked singularity occurs in its exact meaning. This phenomenon may provide a new candidate for a source of ultrahigh energy cosmic rays or a central engine of (Formula presented)-ray bursts. © 2000 The American Physical Society.

リンク情報
DOI
https://doi.org/10.1103/PhysRevD.62.084037
ID情報
  • DOI : 10.1103/PhysRevD.62.084037
  • ISSN : 1550-2368
  • ISSN : 1550-7998
  • SCOPUS ID : 84856729093

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