Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
arXiv:2201.09687 · doi:10.1103/PhysRevD.105.104001
Abstract
We study linear perturbations about static and spherically symmetric black holes with a time-independent background scalar field in shift-symmetric Horndeski theories, whose Lagrangian is characterized by coupling functions depending only on the kinetic term of the scalar field . We clarify conditions for the absence of ghosts and Laplacian instabilities along the radial and angular directions in both odd- and even-parity perturbations. For reflection-symmetric theories described by a k-essence Lagrangian and a nonminimal derivative coupling with the Ricci scalar, we show that black holes endowed with nontrivial scalar hair are unstable around the horizon in general. This includes nonasymptotically flat black holes known to exist when the nonminimal derivative coupling to the Ricci scalar is a linear function of . We also investigate several black hole solutions in nonreflection-symmetric theories. For cubic Galileons with the Einstein-Hilbert term, there exists a nonasymptotically flat hairy black hole with no ghosts/Laplacian instabilities. Also, for the scalar field linearly coupled to the Gauss-Bonnet term, asymptotically flat black hole solutions constructed perturbatively with respect to a small coupling are free of ghosts/Laplacian instabilities.
23 pages, 1 figure, 1 table, published version
References in corpus (21)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
- Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
- Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
- Black holes with non-minimal derivative coupling
- Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
- Stability of Schwarzschild-like solutions in f(R,G) gravity models
- Extended mimetic gravity: Hamiltonian analysis and gradient instabilities
- Black holes in vector-tensor theories
- 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
- Fundamental theorem on gauge fixing at the action level
- Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
- Invertible disformal transformations with higher derivatives
- Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
- Linear perturbation analysis of hairy black holes in shift-symmetric Horndeski theories: Odd-parity perturbations
- Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor
- Jordan frame no-hair for spherical scalar-tensor black holes
- Relativistic star perturbations in Horndeski theories with a gauge-ready formulation
- Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations
- Quasi-normal modes of black holes in scalar-tensor theories with non-minimal derivative couplings
Cited by in corpus (20)
- Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models
- Black hole perturbations in Maxwell-Horndeski theories
- Stability of Hairy Black Holes in Shift-Symmetric Scalar-Tensor Theories via the Effective Field Theory Approach
- On the effective metric of axial black hole perturbations in DHOST gravity
- Linear perturbations of Einstein-Gauss-Bonnet black holes
- Testing the Speed of Gravity with Black Hole Ringdown
- Gravitational-wave constraints on scalar-tensor gravity from a neutron star and black-hole binary GW200115
- Instability of scalarized compact objects in Einstein-scalar-Gauss-Bonnet theories
- Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability
- Nonsingular black holes and spherically symmetric objects in nonlinear electrodynamics with a scalar field
- Perturbations of massless external fields in Horndeski hairy black hole
- Stability of neutron stars in Horndeski theories with Gauss-Bonnet couplings
- Angular and radial stabilities of spontaneously scalarized black holes in the presence of scalar-Gauss-Bonnet couplings
- Anti-de Sitter neutron stars in the theory of gravity with nonminimal derivative coupling
- Linear stability of vector Horndeski black holes
- Stability of Schwarzshild black holes in quadratic gravity with Weyl curvature domination
- Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity
- Axial perturbations of black holes in scalar-tensor gravity: near-horizon behaviour
- Instability of regular planar black holes in four dimensions arising from an infinite sum of curvature corrections
- Constraining Scalar Charge in Neutron Stars through Gravitational Wave Signals from NSBH Mergers