Axial perturbations of black holes in scalar-tensor gravity: near-horizon behaviour
arXiv:2304.03055 · doi:10.1088/1475-7516/2023/11/040
Abstract
We consider axial (or odd-parity) perturbations of non-spinning hairy black holes (BH) in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories, including terms quartic and cubic in second derivatives of the scalar field. We give a new formulation of the effective metric in which axial perturbations propagate as in general relativity. We then introduce a generic parametrization of the effective metric in the vicinity of the background BH horizon. Writing the dynamics of the perturbations in terms of a Schrödinger-like operator, we discuss in which cases the operator is (essentially) self-adjoint, thus leading to an unambiguous time evolution, according to the choice of parameters characterizing the near-horizon effective metric. This is in particular useful to investigate the stability of the perturbations. We finally illustrate our general analysis with two examples of BH solutions.
arXiv comment24 pages, 3 appendices
References in corpus (53)
- Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
- Horndeski theory and beyond: a review
- Dressing a black hole with a time-dependent Galileon
- Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
- Extended Scalar-Tensor Theories of Gravity
- Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
- Master equations for perturbations of generalised static black holes with charge in higher dimensions
- Stability of Higher-Dimensional Schwarzschild Black Holes
- Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
- Horndeski Gravity as Limit of Gauss-Bonnet
- On Taking the limit of Gauss-Bonnet Gravity: Theory and Solutions
- Asymptotically flat black holes in Horndeski theory and beyond
- Pseudospectrum and black hole quasi-normal mode (in)stability
- Hamiltonian analysis of higher derivative scalar-tensor theories
- Quantum Probes of Spacetime Singularities
- Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
- Black holes and stars in Horndeski theory
- Gravitational wave signatures of black hole quasi-normal mode instability
- "Shadowy" modes in Higher-Order Scalar-Tensor theories
- Black Holes in the Ghost Condensate
- Effective Field Theory of Black Hole Quasinormal Modes in Scalar-Tensor Theories
- Hairy Schwarzschild-(A)dS black hole solutions in DHOST theories beyond shift symmetry
- Perturbations of Stealth Black Holes in DHOST 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
- Weakly-coupled stealth solution in scordatura degenerate theory
- Hairy black holes in DHOST theories: Exploring disformal transformation as a solution-generating method
- 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
- Existence and Instability of Novel Hairy Black Holes in Shift-symmetric Horndeski Theories
- Invertible disformal transformations with higher derivatives
- Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
- Nonminimal derivative coupling scalar-tensor theories: odd-parity perturbations and black hole stability
- Linear perturbation analysis of hairy black holes in shift-symmetric Horndeski theories: Odd-parity perturbations
- Effective Field Theory for the Perturbations of a Slowly Rotating Black Hole
- Generalized disformal Horndeski theories: cosmological perturbations and consistent matter coupling
- Effective Field Theory of Black Hole Perturbations with Timelike Scalar Profile: Formulation
- 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
- Relativistic star perturbations in Horndeski theories with a gauge-ready formulation
- Black holes with a nonconstant kinetic term in degenerate higher-order scalar tensor theories
- 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
- Stability of black holes with non-minimally coupled scalar hair to the Einstein tensor
- Asymptotics of linear differential systems and application to quasi-normal modes of nonrotating black holes
- Consistency of higher derivative couplings to matter fields in scalar-tensor gravity
- Stability of Hairy Black Holes in Shift-Symmetric Scalar-Tensor Theories via the Effective Field Theory Approach
- Black hole stability under odd-parity perturbations in Horndeski gravity
- Linear perturbations of Einstein-Gauss-Bonnet black holes
- A naked singularity stable under scalar field perturbations
- On the effective metric of axial black hole perturbations in DHOST gravity
- Stability analysis of black holes by the -deformation method for coupled systems
- Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability