Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions

Anabalón, Andrés; Fierro, Octavio; Figueroa, José; Oliva, Julio

doi:10.1140/epjc/s10052-019-6748-x

Cited by 5 publications

(4 citation statements)

References 42 publications

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“…We can see from equations (2.38) and (2.40) that for a massless, minimally coupled scalar, namely for ξ = 0, it is not possible to fulfill the boundary conditions and there are no quasinormal modes of such massless scalar probe fields on the black hole background. This situation is similar to what occurs for a massless scalar probe on the asymptotically locally flat, static black holes in New Massive Gravity [15]. In the present case, a non-vanishing value of the non-minimal coupling allows for non-trivial quasinormal modes, provided (2.38) and (2.40) are fulfilled.…”

Section: Jhep07(2022)021supporting

confidence: 77%

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Monserrat

Hernández

Mena

et al. 2022

J. High Energ. Phys.

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In this paper we identify a new family of black holes and solitons that lead to the exact integration of scalar probes, even in the presence of a non-minimal coupling with the Ricci scalar which has a non-trivial profile. The backgrounds are planar and spherical black holes as well as solitons of SU (2) × SU (2) $$ \mathcal{N} $$ N = 4 gauged supergravity in four dimensions. On these geometries, we compute the spectrum of (quasi-)normal modes for the non-minimally coupled scalar field. We find that the equation for the radial dependence can be integrated in terms of hypergeometric functions leading to an exact expression for the frequencies. The solutions do not asymptote to a constant curvature spacetime, nevertheless the asymptotic region acquires an extra conformal Killing vector. For the black hole, the scalar probe is purely ingoing at the horizon, and requiring that the solutions lead to an extremum of the action principle we impose a Dirichlet boundary condition at infinity. Surprisingly, the quasinormal modes do not depend on the radius of the black hole, therefore this family of geometries can be interpreted as isospectral in what regards to the wave operator non-minimally coupled to the Ricci scalar. We find both purely damped modes, as well as exponentially growing unstable modes depending on the values of the non-minimal coupling parameter. For the solitons we show that the same integrability property is achieved separately in a non-supersymmetric solutions as well as for the supersymmetric one. Imposing regularity at the origin and a well defined extremum for the action principle we obtain the spectra that can also lead to purely oscillatory modes as well as to unstable scalar probes, depending on the values of the non-minimal coupling.

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Section: Jhep07(2022)021supporting

confidence: 77%

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Monserrat

Hernández

Mena

et al. 2022

J. High Energ. Phys.

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“…situation is similar to what occurs for a massless scalar probe on the asymptotically locally flat, static black holes in New Massive Gravity[15]. In the present case, a non-vanishing value of the non-minimal coupling allows for non-trivial quasinormal modes, provided (40) and (42) are fulfilled.…”

supporting

confidence: 75%

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Aguayo,

Hernández,

Mena

et al. 2022

Preprint

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In this paper we identify a new family of black holes and solitons that lead to the exact integration of scalar probes, even in the presence of a non-minimal coupling with the Ricci scalar which has a non-trivial profile. The backgrounds are planar and spherical black holes as well as solitons of SU (2) × SU (2) N = 4 gauged supergravity in four dimensions. On these geometries, we compute the spectrum of (quasi-)normal modes for the non-minimally coupled scalar field. We find that the equation for the radial dependence can be integrated in terms of hypergeometric functions leading to an exact expression for the frequencies. The solutions do not asymptote to a constant curvature spacetime, nevertheless the asymptotic region acquires an extra conformal Killing vector. For the black hole, the scalar probe is purely ingoing at the horizon, and requiring that the solutions lead to an extremum of the action principle we impose a Dirichlet boundary condition at infinity. Surprisingly, the quasinormal modes do not depend on the radius of the black hole, therefore this family of geometries can be interpreted as isospectral in what regards to the wave operator non-minimally coupled to the Ricci scalar. We find both purely damped modes, as well as exponentially growing unstable modes depending on the values of the non-minimal coupling parameter. For the solitons we show that the same integrability property is achieved separately in a non-supersymmetric solutions as well as for the supersymmetric one. Imposing regularity at the origin and a well defined extremum for the action principle we obtain the spectra that can also lead to purely oscillatory modes as well as to unstable scalar probes, depending on the values of the non-minimal coupling.

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“…For the rotating, asymptotically flat hairy black holes in NMG, the quasinormal modes for a massless scalar probe were obtained in an exact manner in[36] 3. Holographic realizations of nonunitary CFTs have been considered, for instance, in the context of dS=CFT correspondence.…”

mentioning

confidence: 99%

Quasinormal modes and black hole hairs in AdS

et al. 2020

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Holography relates the quasinormal mode frequencies of AdS black holes to the pole structure of the dual field theory propagator. These modes thus provide the timescale for the approach to thermal equilibrium in the CFT. Here, we study how such pole structure and, in particular, the time to equilibrium can get modified in the presence of a black hole hair. More precisely, we consider in AdS a set of relaxed boundary conditions that allow for a low decaying graviton mode near the boundary, which triggers an additional degree of freedom. We solve the scalar field response on such background analytically and nonperturbatively in the hair parameter, and we obtain how the pole structure gets affected by the presence of a black hole hair, relative to that of the usual AdS black hole geometry. The setup we consider is a massive 3D gravity theory, which admits a one-parameter family deformation of Banados-Teitelboim-Zanelli (BTZ) solution and enables us to solve the problem analytically. The theory also admits an AdS 3 soliton which gives a family of vacua that can be constructed from the hairy black hole by means of a double Wick rotation. The spectrum of normal modes on the latter geometry can also be solved analytically; we study its properties in relation to those of the AdS 3 vacuum.

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Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions

Cited by 5 publications

References 42 publications

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Quasinormal modes and black hole hairs in AdS

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