Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations

• 髙橋, 一史

• Motohashi, Hayato

• Minamitsuji, Masato

抄録

We study static spherically symmetric black hole solutions with a linearly time-dependent scalar field and discuss their linear stability in the shift- and reflection-symmetric subclass of quadratic degenerate higher-order scalar-tensor (DHOST) theories. We present the explicit forms of the reduced system of background field equations for a generic theory within this subclass. Using the reduced equations of motion, we show that in several cases the solution is forced to be of the Schwarzschild or Schwarzschild-(anti-)de Sitter form. We consider odd-parity perturbations around general static spherically symmetric black hole solutions and derive the concise criteria for the black holes to be stable. Our analysis also covers the case with a static or constant profile of the scalar field.

収録刊行物

• Physical Review D

  Physical Review D 100 (2), 024041-024041, 2019-07-22

  American Physical Society (APS)

詳細情報

• CRID: 1050012570392520192
• NII論文ID: 120006796521
• NII書誌ID: AA00773624
• DOI: 10.1103/physrevd.100.024041
• ISSN: 24700029
• ISSN: 24700010
• HANDLE: 20.500.14094/90006782
• Web Site: https://link.aps.org/article/10.1103/PhysRevD.100.024041
• Web Site: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevD.100.024041/fulltext
• 本文言語コード: en
• 資料種別: journal article
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