Stable black holes in shift-symmetric Horndeski theories
arXiv:1702.03502 · doi:10.1088/1361-6382/aa8057
Abstract
In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the vicinity of the horizon. In the present paper, we explore the possibility to avoid the instability, and present a new example of theory and its black hole solution with a linearly time-dependent scalar configuration. We also discuss the stability of solutions with static scalar hair for a special case where nonminimal derivative coupling to the Einstein tensor appears.
14 pages; matches published version
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- General Relativity solutions with stealth scalar hair in quadratic higher-order scalar-tensor theories
- Black hole solutions in shift-symmetric degenerate higher-order scalar-tensor theories
- Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
- Nonlinear definition of the shadowy mode in higher-order scalar-tensor theories
- Generalized Regge-Wheeler Equation from Effective Field Theory of Black Hole Perturbations with a Timelike Scalar Profile
- Circular orbits and accretion process in a class of Horndeski/Galileon black holes
- Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
- Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models
- Invertible disformal transformations with arbitrary higher-order derivatives
- Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
- Consistency of matter coupling in modified gravity
- Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability
- Scalar-tensor black holes in an expanding universe
- Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type