Perturbations and Stability of Static Black Holes in Higher Dimensions(Chapter 6,Higher Dimensional Black Holes)

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In this chapter we consider perturbations and stability of higher dimensional black holes focusing on the static background case. We first review a gauge-invariant formalism for linear perturbations in a fairly generic class of (m+n)-dimensional spacetimes with a warped prodnct metric, including black hole geometry. We classify perturbations of such a background into three types, the tensor, vector and scalar-type, according to their tensorial behavior on the n-dimensional part of the background spacetime, and for each type of perturbations, we introduce a set of manifestly gauge invariant variables. We then introduce harmonic tensors and write down the equations of motion for the expansion coefficients of the gauge invariant perturbation variables in terms of the harmonics. In particular, for the tensor-type perturbations a single master equation is obtained in the (m+n)-dimensional background, which is applicable for perturbation analysis of not only static black holes but also some class of rotating black holes as well as black-branes. For the vector and scalar type, we derive a set of decoupled master equations when the background is a (2+n)-dimensional static black hole in the Einstein-Maxwell theory with a cosmological constant. As an application of the master equations. we review the stability analysis of higher dimensional charged static black holes with a cosmological constant. We also briefly review the recent results of a generalization of the perturbation formulae presented here and stability analysis to static black holes in generic Lovelock theory.

収録刊行物

  • Progress of theoretical physics. Supplement   [巻号一覧]

    Progress of theoretical physics. Supplement (189), 165-209, 2011-08-29  [この号の目次]

    一般社団法人日本物理学会

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各種コード

  • NII論文ID(NAID)
    110008711101
  • NII書誌ID(NCID)
    AA00791466
  • 本文言語コード
    ENG
  • 資料種別
    ART
  • ISSN
    03759687
  • NDL 記事登録ID
    11201176
  • NDL 雑誌分類
    ZM35(科学技術--物理学)
  • NDL 請求記号
    Z53-A468
  • データ提供元
    CJP書誌  NDL  NII-ELS 
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