Scalar quasinormal modes of 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Kerr</mml:mi><mml:mtext>−</mml:mtext><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Amado, Julián Barragán; Cunha, Bruno Carneiro da; Pallante, Elisabetta

doi:10.1103/physrevd.99.105006

Cited by 33 publications

(53 citation statements)

References 64 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that the quasinormal frequency ω 0 increases until a 1 = 0.999, where it shows an asymptote, and possibly a non polynomial behavior in 1 − a 1 . A better understanding of the physics behind this analysis is indeed well-deserved, particularly the prospect of superradiant modes [16]. We will, however, leave these aspects to future work.…”

Section: Quasinormal Modes From the Radial Systemmentioning

confidence: 92%

“…Of those, the single monodromy parametersθ i can be read directly from the differential equation, whereas σ 0t and σ 1t are not readily available. On the other hand, they comprise the information needed from the equation to solve the scattering problem [23], or to find quasinormal modes [16]. Therefore, finding them is a problem of interest.…”

Section: Jhep04(2020)155mentioning

confidence: 99%

“…where we omitted the dependence on m 1 , m 2 , a 1 , a 2 . As discussed in [15,16], the condition that the solutions of the angular differential equation (2.19) are well-behaved both at the North and South poles of the sphere x, φ, ψ can be written in terms of the monodromy parameters. Let us now review this construction.…”

Section: Writing the Boundary Conditions In Terms Of Monodromy Datamentioning

confidence: 99%

“…Coming from a different perspective, the separability of the scalar wave equation in the subcase of a five dimensional black hole with a negative cosmological constant -Kerr-AdS 5 -was tied to the construction of two flat holomorphic connections in a previous article by the authors [15], related to the solutions of the angular and radial differential equations. There, the purpose was solely "dynamical": flat holomorphic connections have a residual gauge-symmetry which allows for solving the connection problem of the differential equations [16].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent

Amado

Cunha

Pallante

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter µ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which µ is tied to the Painlevé VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix µ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.

show abstract

Section: Quasinormal Modes From the Radial Systemmentioning

confidence: 92%

Section: Jhep04(2020)155mentioning

confidence: 99%

Section: Writing the Boundary Conditions In Terms Of Monodromy Datamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent

Amado

Cunha

Pallante

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Recently, some techniques based on monodromy calculations have been put forward to obtain analytical expressions for the quasinormal spectrum of perturbations in five-dimensional Kerr background [24]. However, the latter spectrum is written in terms of transcendental equations whose solutions must be found numerically [25].…”

Section: Introductionmentioning

confidence: 99%

Spin-2 quasinormal modes in generalized Nariai spacetimes

Venâncio

Batista

2020

Phys. Rev. D

View full text Add to dashboard Cite

In this work we analytically obtain the quasinormal spectrum for the gravitational perturbation on a higher-dimensional generalization of the Nariai spacetime that is comprised of the direct product of the two-dimensional de Sitter space with several two-spheres. A key step in order to attain this result is to use a suitable basis for the angular functions depending on the rank of the tensorial degree of freedom that one needs to describe. Here we define such a basis, which is a generalization of the tensor spherical harmonics that is suited for spaces that are the product of several spaces of constant curvature.

show abstract

More on the SW-QNM correspondence

Bianchi

Consoli

Grillo

et al. 2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We exploit the recently proposed correspondence between gravitational perturbations and quantum Seiberg-Witten curves to compute the spectrum of quasi-normal modes of asymptotically flat Kerr Newman black holes and establish detailed gauge/gravity dictionaries for a large class of black holes, D-branes and fuzzballs in diverse dimensions. QNM frequencies obtained from the quantum periods of SU(2) $$ \mathcal{N} $$ N = 2 SYM with Nf = 3 flavours are compared against numerical results, WKB (eikonal) approximation and geodetic motion showing remarkable agreement. Starting from the master example relating quasi-normal modes of Kerr-Newman black holes in AdS4 to SU(2) gauge theory with Nf = 4, we illustrate the procedure for some simple toy-models that allow analytic solutions. We also argue that the AGT version of the gauge/gravity correspondence may give precious hints as to the physical/geometric origin of the quasi-normal modes/Seiberg-Witten connection and further elucidate interesting properties (such as tidal Love numbers and grey-body factors) that can help discriminating black holes from fuzzballs.

show abstract

Scalar quasinormal modes of Kerr−AdS5

Cited by 33 publications

References 64 publications

Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent

Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent

Spin-2 quasinormal modes in generalized Nariai spacetimes

More on the SW-QNM correspondence

Contact Info

Product

Resources

About