期刊
PHYSICAL REVIEW D
卷 100, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.024041
关键词
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资金
- JSPS Research Fellowships for Young Scientists [17J06778]
- JSPS KEKENHI [JP17H06359, JP18K13565, JP17H02894, JP17K18778]
- research grant under Norma Transitoria do [DL 57/2016]
- Grants-in-Aid for Scientific Research [17J06778] Funding Source: KAKEN
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.
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