Rotating black holes in higher order gravity

Charmousis, Christos; Crisostomi, Marco; Gregory, Ruth; Stergioulas, Nikolaos

doi:10.1103/physrevd.100.084020

Cited by 92 publications

(143 citation statements)

References 40 publications

(51 reference statements)

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“…One can now use this solution generating method and explore the solution space of DHOST theories beyond the stealth sector in an efficient way. An interesting application would be to generate new rotating exact solutions beyond the stealth sector starting from the stealth Kerr solution presented in [45].…”

Section: Discussionmentioning

confidence: 99%

“…See also [44]. More recently, a rotating stealth solution was derived in [45]. Stability and strong coupling issues of these stealth solutions were investigated in [46,47] and even more recently in [48][49][50].…”

Section: Introductionmentioning

confidence: 99%

“…Starting from other seed solutions, further applications of this strategy shall allow for the construction of more interesting exact solutions. In particular, one could generate new rotating black hole solutions starting from the stealth Kerr solution found in [45], as well as more subtle geometries such as the Robinson-Trautman-like solution, which describes non-linear radiative gravitational-field. Hence, this work only provides the first step towards a wider exploration of this solution generating method.…”

Section: Introductionmentioning

confidence: 99%

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Hairy black holes in DHOST theories: exploring disformal transformation as a solution generating method

Achour

Liu

Mukohyama

2020

J. Cosmol. Astropart. Phys.

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Solutions-generating methods based on field redefinitions, such as conformal mapping, play an important role in investigating exact solutions in modified gravity. In this work, we explore the possibility to use disformal field redefinitions to investigate new regions of the solution space of DHOST theories, and present new hairy black holes solutions beyond the stealth sector. The crucial ingredient is to find suitable seed solutions to generate new exact ones for DHOST theories. We first consider a seed solution of the Einstein-Scalar system describing a naked singularity. Under suitable assumptions, we derive a no-go result showing that no black hole solution can be constructed from such a seed GR solution. Then, taking into account the stability of each three degeneracy classes of quadratic DHOST theories under a general disformal mapping, we consider two kinds of known black hole solutions as seed configurations: the Schwarzschild stealth solution and the non-stealth Reissner-Nordstrom like solution. Restricting our considerations to invertible disformal transformations, we show that building new hairy black hole solutions from the stealth solution associated to a constant kinetic term is also quite constrained. We obtain new solutions which either are stealth or describe asymptotically locally flat black holes with a deficit solid angle. However, starting from the non-stealth seed solution associated to a non constant kinetic term, we show that a disformal transformation can introduce rather general modifications of the exterior geometry. Finally, we consider the construction of minimally modified hairy black hole solutions using a small disformal transformation. Further applications of this solution generating method should allow to provide new hairy rotating black hole solutions beyond the stealth sector, as well as minimally modified GR solutions useful for phenomenological investigations of compact objects beyond GR.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hairy black holes in DHOST theories: exploring disformal transformation as a solution generating method

Achour

Liu

Mukohyama

2020

J. Cosmol. Astropart. Phys.

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“…were also found for nonshift-symmetric Horndeski theory [17]. Stealth black holes in DHOST theories have been attracting much attention recently [18][19][20][21][22]. Stealth solutions may also be used as seed solutions in a certain generating-solution method based on disformal transformations [23].…”

Section: Introductionmentioning

confidence: 99%

Weakly-coupled stealth solution in scordatura degenerate theory

Motohashi

Mukohyama

2020

J. Cosmol. Astropart. Phys.

162

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In scalar-tensor theories we revisit the issue of strong coupling of perturbations around stealth solutions, i.e. backgrounds with the same forms of the metric as in General Relativity but with non-trivial configurations of the scalar field. The simplest among them is a stealth Minkowski (or de Sitter) solution with a constant, timelike derivative of the scalar field, i.e. ghost condensation. In the decoupling limit the effective field theory (EFT) describing perturbations around the stealth Minkowski (or de Sitter) solution shows the universal dispersion relation of the form ω 2 = αk 4 /M 2 , where M is a mass scale characterizing the background scalar field and α is a dimensionless constant. Provided that α is positive and of order unity, a simple scaling argument shows that the EFT is weakly coupled all the way up to M . On the other hand, if the structure of the underlining theory forces the perturbations to follow second-order equations of motion then α = 0 and the dispersion relation loses dependence on the spatial momentum. This not only explains the origin of the strong coupling problem that was recently pointed out in a class of degenerate theories but also provides a hint for a possible solution of the problem. We then argue that a controlled detuning of the degeneracy condition, which we call scordatura, renders the perturbations weakly coupled without changing the properties of the stealth solutions of degenerate theories at astrophysical scales.

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“…In the present work we consider a stealth rotating black hole solution obtained very recently [23] in the context of Degenerate Higher Order Scalar Tensor (DHOST) theories [24][25][26], 1 See [19] for Einstein-Maxwell theory, [20] for recent results in f (R) theory and [21,22] for slowly rotating black holes without hair in Horndeski theories which represent the most general class of covariant scalartensor theories with a single scalar degree of freedom (see [27] for a review). This black hole solution is characterised by an exact Kerr (or, more generally, Kerr-de Sitter) geometry and a non-trivial scalar field which can be identified with families of geodesics of the spacetime itself 2 .…”

Section: Introductionmentioning

confidence: 99%

Perturbations of a rotating black hole in DHOST theories

Charmousis

Crisostomi

Langlois

et al. 2019

Class. Quantum Grav.

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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 perturbation while the tensor perturbation is obtained as a Teukolsky equation supplemented by an effective source term. The effective source term is related to the black hole hair and can be computed exactly for any value of the black hole spin. We discuss how the perturbations of the geometry and thus the emitted gravitational waves could be modified in comparison with general relativity.

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Rotating black holes in higher order gravity

Cited by 92 publications

References 40 publications

Hairy black holes in DHOST theories: exploring disformal transformation as a solution generating method

Hairy black holes in DHOST theories: exploring disformal transformation as a solution generating method

Weakly-coupled stealth solution in scordatura degenerate theory

Perturbations of a rotating black hole in DHOST theories

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