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

被引：62

作者：

Takahashi, Kazufumi ^{[1
,2
]}

Motohashi, Hayato ^{[3
]}

Minamitsuji, Masato ^{[4
]}

机构：

[1] Rikkyo Univ, Dept Phys, Toshima Ku, Tokyo 1718501, Japan

[2] Kobe Univ, Dept Phys, Kobe, Hyogo 6578501, Japan

[3] Kyoto Univ, Yukawa Inst Theoret Phys, Ctr Gravitat Phys, Kyoto 6068502, Japan

[4] Univ Lisbon, Ctr Astrofis & Gravitacao CENTRA, Dept Fis, IST, Av Rovisco Pais 1, P-1049001 Lisbon, Portugal

来源：

PHYSICAL REVIEW D | 2019年 / 100卷 / 02期

关键词：

EQUATIONS;

D O I：

10.1103/PhysRevD.100.024041

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：16

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