Instability of hairy black holes in shift-symmetric Horndeski theories
arXiv:1510.07400 · doi:10.1103/PhysRevD.93.064078
Abstract
Recently it was pointed out that in shift-symmetric scalar-tensor theories a black hole can have nontrivial scalar hair which depends linearly on time. We develop black hole perturbation theory for such solutions and compute the quadratic action of odd-parity perturbations. We show that around all the solutions known so far with such time-dependent scalar hair the perturbations trigger instabilities or are presumably strongly coupled.
9 pages, version accepted for publication in Physical Review D; Error corrected in Section 3, Appendix A and Appendix B, results unchanged
References in corpus (5)
Cited by in corpus (55)
- Black holes, gravitational waves and fundamental physics: a roadmap
- Horndeski theory and beyond: a review
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
- Black holes and stars in Horndeski theory
- Stability of a black hole and the speed of gravity waves within self-tuning cosmological models
- Neutron stars in Horndeski gravity
- Hairy Schwarzschild-(A)dS black hole solutions in DHOST theories beyond shift symmetry
- Perturbations of Stealth Black Holes in DHOST Theories
- Boson stars in biscalar extensions of Horndeski gravity
- Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories
- Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
- Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
- Strong field gravitational lensing by a charged Galileon black hole
- Hamiltonian vs stability and application to Horndeski theory
- General Relativity solutions with stealth scalar hair in quadratic higher-order scalar-tensor theories
- Existence and Instability of Novel Hairy Black Holes in Shift-symmetric Horndeski Theories
- Compact objects in Horndeski gravity
- 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
- Black hole perturbations in modified gravity
- Linear perturbation analysis of hairy black holes in shift-symmetric Horndeski theories: Odd-parity perturbations
- Quasinormal modes of compact objects in alternative theories of gravity
- Black hole perturbations in vector-tensor theories: The odd-mode analysis
- Generalized Regge-Wheeler Equation from Effective Field Theory of Black Hole Perturbations with a Timelike Scalar Profile
- Perturbations and quasi-normal modes of black holes with time-dependent scalar hair in shift-symmetric scalar-tensor theories
- Circular orbits and accretion process in a class of Horndeski/Galileon black holes
- Relativistic star perturbations in Horndeski theories with a gauge-ready formulation
- Square Peg in a Circular Hole: Choosing the Right Ansatz for Isolated Black Holes in Generic Gravitational Theories
- Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
- Axial quasinormal modes of static neutron stars in the nonminimal derivative coupling sector of Horndeski gravity: spectrum and universal relations for realistic equations of state
- Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models
- Thermodynamics of Horndeski black holes with non-minimal derivative coupling
- Stability of relativistic stars with scalar hairs
- Stability of Hairy Black Holes in Shift-Symmetric Scalar-Tensor Theories via the Effective Field Theory Approach
- Dynamic instability analysis for bumblebee black holes: the odd parity
- Linear perturbations of Einstein-Gauss-Bonnet black holes
- Universal instability of hairy black holes in Lovelock-Galileon theories in D dimensions
- Stable black holes in shift-symmetric Horndeski theories
- Disformal map and Petrov classification in modified gravity
- On Bouncing and Nonsingular Solutions in Einstein-scalar-Gauss-Bonnet Cosmology
- Instability of compact stars with a nonminimal scalar-derivative coupling
- Causal structure of black holes in shift-symmetric Horndeski theories
- Compact astrophysical objects in modified gravity
- Gravitational Collapse of a Homogeneous Scalar Field Coupled Kinematically to Einstein Tensor
- Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability
- Symmetries for scalarless scalar theories
- Self-accelerating Massive Gravity: Hidden Constraints and Characteristics
- Black hole perturbation under 2 + 2 decomposition in the action
- Anti-de Sitter neutron stars in the theory of gravity with nonminimal derivative coupling
- Dark matter candidate induced by Horndeski theory: dark matter halo and cosmological evolution
- Extremal cosmological black holes in Horndeski gravity and the anti-evaporation regime
- No-Go theorem in the cubic subclass of Horndeski theory for spherically symmetric dynamical background
- Geometrically Regular Black Holes with Hedgehog Scalar Hair
- Hamiltonian vs stability in alternative theories of gravity
- SKA-Japan Pulsar Science with the Square Kilometre Array