Perturbations and quasinormal modes of black holes with time-dependent scalar hair in shift-symmetric scalar-tensor theories

Tomikawa, Keitaro; Kobayashi, Tsutomu

doi:10.1103/physrevd.103.084041

Cited by 30 publications

(45 citation statements)

References 51 publications

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“…Interestingly, there may exist a universal horizon, within which even the instantaneous mode cannot escape to infinity [25]. It would also be interesting to study perturbations about black hole solutions in the U-DHOST theories, following the works [46][47][48][49][50][51][52][53][54] in the DHOST theories.…”

Section: Discussionmentioning

confidence: 99%

Nonlinear definition of the shadowy mode in higher-order scalar-tensor theories

De Felice,

Mukohyama,

Takahashi

2021

Preprint

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We study U-DHOST theories, i.e., higher-order scalar-tensor theories which are degenerate only in the unitary gauge and yield an apparently unstable extra mode in a generic coordinate system. We show that the extra mode satisfies a three-dimensional elliptic differential equation on a spacelike hypersurface, and hence it does not propagate. We clarify how to treat this "shadowy" mode at both the linear and the nonlinear levels.

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Section: Discussionmentioning

confidence: 99%

Nonlinear definition of the shadowy mode in higher-order scalar-tensor theories

De Felice,

Mukohyama,

Takahashi

2021

Preprint

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“…The equations that arise in the above process have been thoroughly studied in the Schwarzschild spacetime. However, for example, if one considers a non-vacuum static black hole with hair [31][32][33], the metric would be no longer the Schwarzschild spacetime. Especially, when studying the Effective-One-Body problem to general relativistic two-body dynamics, peoples used the static and spherically symmetric effective metric [34,35].…”

Section: Introductionmentioning

confidence: 99%

Gauge Invariant Perturbations of General Spherically Symmetric Spacetimes

Liu,

Fang,

Jing

et al. 2022

Preprint

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“…based on the perturbation equations of motion recast in well-known forms, e.g., in the form of a Schrödinger-type equation or first-order coupled equations [48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability

Nakashi¹,

Kimura²,

Motohashi³

et al. 2022

Preprint

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We propose a physically sensible formulation of initial value problem for black hole perturbations in higher-order scalar-tensor theories. As a first application, we study monopole perturbations around stealth Schwarzschild solutions in a shift-and reflection-symmetric subclass of degenerate higher-order scalar-tensor (DHOST) theories. In particular, we investigate the time evolution of the monopole perturbations by solving a two-dimensional wave equation and analyze the Vishveshwara's classical scattering experiment, i.e., the time evolution of a Gaussian wave packet. As a result, we confirm that stealth Schwarzschild solutions in the DHOST theory are dynamically stable against the monopole perturbations with the wavelength comparable or shorter than the size of the black hole horizon. We also find that the damped oscillations at the late time do not show up unlike the ringdown phase in the standard case of general relativity. Moreover, we investigate the characteristic curves of the monopole perturbations as well as a static spherically symmetric solution with monopole hair.

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Perturbations and quasinormal modes of black holes with time-dependent scalar hair in shift-symmetric scalar-tensor theories

Cited by 30 publications

References 51 publications

Nonlinear definition of the shadowy mode in higher-order scalar-tensor theories

Nonlinear definition of the shadowy mode in higher-order scalar-tensor theories

Gauge Invariant Perturbations of General Spherically Symmetric Spacetimes

Black hole perturbations in higher-order scalar-tensor theories: initial value problem and dynamical stability

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