On the horizon instability of an extreme Reissner-Nordström black hole

James Lucietti, Keiju Murata, Harvey S. Reall, Norihiro Tanahashi

研究成果: Article査読

73 被引用数 (Scopus)

抄録

Aretakis has proved that a massless scalar field has an instability at the horizon of an extreme Reissner-Nordström black hole. We show that a similar instability occurs also for a massive scalar field and for coupled linearized gravitational and electromagnetic perturbations. We present numerical results for the late time behaviour of massless and massive scalar fields in the extreme RN background and show that instabilities are present for initial perturbations supported outside the horizon, e.g. an ingoing wavepacket. For a massless scalar we show that the numerical results for the late time behaviour are reproduced by an analytic calculation in the near-horizon geometry. We relate Aretakis' conserved quantities at the future horizon to the Newman-Penrose conserved quantities at future null infinity.

本文言語English
論文番号35
ジャーナルJournal of High Energy Physics
2013
3
DOI
出版ステータスPublished - 2013
外部発表はい

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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