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We study static spherically symmetric black hole solutions with a linearly time-dependent scalar field and discuss their linear stability in the shift- and reflection-symmetric subclass of quadratic degenerate higher-order scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Kazufumi Takahashi , Hayato Motohashi , Masato Minamitsuji

We study the linear perturbations about nonrotating black holes in the context of degenerate higher-order scalar-tensor (DHOST) theories, using a systematic approach that extracts the asymptotic behaviour of perturbations (at spatial…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

We study linear perturbations of a rotating black hole solution that has been recently discovered in degenerate higher-order scalar-tensor (DHOST) theories. We find a parametrization which permits the explicit resolution of the scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Christos Charmousis , Marco Crisostomi , David Langlois , Karim Noui

We study odd parity perturbations of spherically symmetric black holes with time-dependent scalar hair in shift-symmetric higher-order scalar-tensor theories. The analysis is performed in a general way without assuming the degeneracy…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Keitaro Tomikawa , Tsutomu Kobayashi

We analyze the mode stability of odd-parity perturbations of black holes with linearly time-dependent scalar hair in shift-symmetric Horndeski theories. We show that a large class of black hole solutions in these theories suffer from ghost…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Kazufumi Takahashi , Teruaki Suyama

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…

General Relativity and Quantum Cosmology · Physics 2022-08-19 Keisuke Nakashi , Masashi Kimura , Hayato Motohashi , Kazufumi Takahashi

Among the Scalar-Tensor modified theories of gravity, DHOST models could play a special role for dark energy while being consistent with current observations, notably those constraining the speed of gravitational waves. Schwarzschild-de…

High Energy Physics - Theory · Physics 2020-01-08 Claudia de Rham , Jun Zhang

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…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

We study linear perturbations on top of the static and spherically symmetric background of dyonic black hole solutions endowed with electric and magnetic charges, as well as a scalar hair, in the lowest-order $U(1)$ gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Kitaro Taniguchi , Shunta Nishimura , Naoki Tsukamoto , Ryotaro Kase

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…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Hiromu Ogawa , Tsutomu Kobayashi , Teruaki Suyama

We study axial perturbations of static black holes with primary hair in a family of degenerate higher-order scalar-tensor (DHOST) theories. These solutions possess a scalar charge, fully independent of the mass, leading to a continuous…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Christos Charmousis , Simon Iteanu , David Langlois , Karim Noui

We study the linear stability of black holes in Maxwell-Horndeski theories where a $U(1)$ gauge-invariant vector field is coupled to a scalar field with the Lagrangian of full Horndeski theories. The perturbations on a static and…

General Relativity and Quantum Cosmology · Physics 2023-05-25 Ryotaro Kase , Shinji Tsujikawa

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.…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Karim Noui , Hugo Roussille , David Langlois

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…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

We show that most classes of shift-symmetric degenerate higher-order scalar-tensor (DHOST) theories which satisfy certain degeneracy conditions are not compatible with the conditions for the existence of exact black hole solutions with a…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Masato Minamitsuji , James Edholm

We perform a fully relativistic analysis of odd-type linear perturbations around a static and spherically symmetric solution in the most general scalar-tensor theory with second-order field equations in four-dimensional spacetime. It is…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Tsutomu Kobayashi , Hayato Motohashi , Teruaki Suyama

In this chapter we consider perturbations and stability of higher dimensional black holes focusing on the static background case. We first review a gauge-invariant formalism for linear perturbations in a fairly generic class of…

High Energy Physics - Theory · Physics 2015-05-27 Akihiro Ishibashi , Hideo Kodama

We study axial (or odd-parity) perturbations about static and spherically symmetric hairy black hole (BH) solutions in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories. We first extend to the family of DHOST theories…

General Relativity and Quantum Cosmology · Physics 2022-11-03 David Langlois , Karim Noui , Hugo Roussille

We study slowly rotating black hole solutions within Degenerate Higher Order Scalar Tensor (DHOST) theories. Starting from a static, spherically symmetric metric solution of a DHOST theory, we employ the Hartle-Thorne ansatz to model a…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Hugo Candan , Karim Noui , David Langlois

We find various exact black hole solutions in the shift-symmetric subclass of the quadratic degenerate higher-order scalar-tensor (DHOST) theories with linearly time dependent scalar field whose kinetic term is constant. The exact solutions…

General Relativity and Quantum Cosmology · Physics 2019-04-11 Hayato Motohashi , Masato Minamitsuji
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