On Rotating Black Holes in DHOST Theories

Achour, Jibril Ben; Liu, Hongguang; Motohashi, Hayato; Mukohyama, Shinji; Noui, Karim

doi:10.48550/arxiv.2006.07245

Cited by 12 publications

(40 citation statements)

References 55 publications

(90 reference statements)

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“…It belongs to the non-stealth rotating solutions due to an extra deformation parameter. The most general action in quadratic DHOST theory can be expressed as [18,19]…”

Section: Geodesic Equation Of a Particle Around A Disformal Kerr Blac...mentioning

confidence: 99%

“…In order to obtain a non-stealth solution, the functions A and B must satisfy the certain conditions so that the two metrics are not degenerate. Starting from the usual Kerr metric in general relativity, and adopting the transformation with A(X, φ) = 1 and B(X, φ) = B 0 , one can obtain the disformal Kerr metric in Boyer-Lindquist coordinates [18,19]…”

Section: Geodesic Equation Of a Particle Around A Disformal Kerr Blac...mentioning

confidence: 99%

“…Thus, if making a disformal transformation on a known "seed" metric gµν in DHOST Ia theory, one could to obtain a new solution g µν in another specific DHOST Ia theory. With such a technique, a disformal rotating black hole solution in quadratic DHOST theories is obtained recently [18,19]. This disformal solution is a non-stealth one and owns three parameters: the mass, the spin and the deformation parameter described the deviation from the Kerr geometry.…”

Section: Introductionmentioning

confidence: 99%

“…However, the scalar field also makes the disformal spacetime no more Ricci flat. Especially, the presence of the metric function g rt also leads to the lack of circularity [20][21][22] in the disformal Kerr spacetime [18,19].…”

Section: Introductionmentioning

confidence: 99%

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Effect of noncircularity on the dynamic behaviors of particles in a disformal rotating black-hole spacetime

Zhou,

Chen,

Jing

2021

Preprint

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We have studied the dynamical behaviors of the motion of the timelike particles in the disformal Kerr black hole spacetime with an extra deformation parameter, which is a non-stealth rotating solution in quadratic degenerate higher-order scalar-tensor theories. Our result show that the particle's motion depends on the sign of the deformation parameter. For the positive deformation parameter, the motion is regular and order. For the negative one, with the change of the deformation parameter, the motion of the particle undergoes a series of transitions betweens chaotic motion and regular motion, and then falls into horizon or escapes to spatial infinity. These mean that the dynamic behavior of timelike particles in the disformal Kerr black hole spacetime becomes richer than that in the usual Kerr black hole case.

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“…It belongs to the non-stealth rotating solutions due to an extra deformation parameter. The most general action in quadratic DHOST theory can be expressed as [18,19]…”

Section: Geodesic Equation Of a Particle Around A Disformal Kerr Blac...mentioning

confidence: 99%

Section: Geodesic Equation Of a Particle Around A Disformal Kerr Blac...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of noncircularity on the dynamic behaviors of particles in a disformal rotating black-hole spacetime

Zhou,

Chen,

Jing

2021

Preprint

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“…This work was further extended in [12] by applying a disformal transformation to known static or stealth scalar field seed solutions of GR and the disformal images of such seeds that describe black hole horizons, wormhole throats, or horizonless geometries were discussed. In [13,14] the disformation of the stealth Kerr black hole solution in DHOST theories was studied.…”

Section: Introductionmentioning

confidence: 99%

Disformal Transition of a Black Hole to a Wormhole in Scalar-Tensor Horndeski Theory

Chatzifotis,

Papantonopoulos,

Vlachos

2021

Preprint

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We consider disformal transformations in a subclass of Horndeski theory in which a scalar field is kinetically coupled to Einstein tensor. We apply a disformal transformation on a seed hairy black hole solution of this theory and we show that there is a transition of a black hole to a wormhole. We also show that the null energy condition is violated in the wormhole configuration and we study the stability of the wormhole solution by calculating the time evolution of scalar perturbations in this geometry. Contents I. Introduction 1 II. Black Hole Solution with a Scalar Field Kinetically Coupled to Einstein Tensor 2 III. Generating a wormhole solution by a disformal transformation 4 IV. Testing of the energy conditions 6 V. Evolution of scalar perturbations on the wormhole geometry 8 A. Two-Way Wormhole 9 B. One-way Wormhole 10 VI. Conclusions 11 A. Appendix 12 References 13

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General Relativity solutions with stealth scalar hair in quadratic higher-order scalar-tensor theories

Takahashi

Motohashi

2020

J. Cosmol. Astropart. Phys.

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We explore General Relativity solutions with stealth scalar hair in general quadratic higher-order scalar-tensor theories. Adopting the assumption that the scalar field has a constant kinetic term, we derive in a fully covariant manner a set of conditions under which the Euler-Lagrange equations allow General Relativity solutions as exact solutions in the presence of a general matter component minimally coupled to gravity. The scalar field possesses a nontrivial profile, which can be obtained by integrating the condition of constant kinetic term for each metric solution. We demonstrate the construction of the scalar field profile for several cases including the Kerr-Newman-de Sitter spacetime as a general black hole solution characterized by mass, charge, and angular momentum in the presence of a cosmological constant. We also show that asymptotically anti-de Sitter spacetimes cannot support nontrivial scalar hair.*1 By requiring the absence of Ostrogradsky ghost only in the unitary gauge, one can obtain even broader frameworks [19][20][21][22].

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On Rotating Black Holes in DHOST Theories

Abstract: CONTENTS 14 A. Explicit forms of P 1 (r, θ, a) and P 2 (r, θ, a) 15 B. A rotating naked singularity solution in DHOST 15 1. The rotating solution of Einstein-Scalar gravity 15 2. Disformed generalized Kerr solution 17 References 18

Cited by 12 publications

References 55 publications

Effect of noncircularity on the dynamic behaviors of particles in a disformal rotating black-hole spacetime

Effect of noncircularity on the dynamic behaviors of particles in a disformal rotating black-hole spacetime

Disformal Transition of a Black Hole to a Wormhole in Scalar-Tensor Horndeski Theory

General Relativity solutions with stealth scalar hair in quadratic higher-order scalar-tensor theories

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