Calculating quasinormal modes of Schwarzschild anti–de Sitter black holes using the continued fraction method

Daghigh, Ramin G.; Green, Michael D.; Morey, Jodin C.

doi:10.1103/physrevd.107.024023

Cited by 10 publications

(1 citation statement)

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“…In this paper, we will focus on the QNM spectrum of a scalar field in the Schwarzschild-AdS 4 spacetime with the Robin boundary condition, while in most previous studies, QNM spectra of scalar fields were studied with the Dirichlet boundary condition (for example, see [32][33][34]). If a black hole is perturbed, the perturbation will be dissipated into the horizon.…”

Section: Introductionmentioning

confidence: 99%

Quasinormal mode spectrum of the AdS black hole with the Robin boundary condition

Kinoshita,

Kozuka,

Murata

et al. 2024

Class. Quantum Grav.

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We study the quasinormal mode (QNM) spectrum of an asymptotically AdS black hole with the Robin boundary condition at infinity. We consider the Schwarzshild-AdS$_4$ with the flat event horizon as the background spacetime and study its scalar field perturbation. Denoting leading coefficients of slow- and fast-decay modes of the scalar field at infinity as $\phi_1$ and $\phi_2$, respectively, we assume a linear relation between them as $\phi_2 = \cot(\theta/2) \phi_1$, where $\theta$ is a constant called the Robin parameter and periodic under $\theta\sim\theta+2\pi$. In a certain range of the Robin parameter, there is an instability driven by the boundary condition. We also find the holonomy in the QNM spectrum under the parametric cycle of the boundary condition: $\theta=0\to2\pi$. After the one-cycle, $n$-th overtone of the QNM moves to $(n-1)$-th overtone. The fundamental tone of the QNM is swept out to the infinity in the complex plane.

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Section: Introductionmentioning

confidence: 99%

Quasinormal mode spectrum of the AdS black hole with the Robin boundary condition

Kinoshita,

Kozuka,

Murata

et al. 2024

Class. Quantum Grav.

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Photon sphere and quasinormal modes in AdS/CFT

Hashimoto,

Sugiura,

Sugiyama

et al. 2023

J. High Energ. Phys.

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Photon spheres are the characteristic of general black holes, thus are a suitable touchstone for the emergence of gravitational spacetime in the AdS/CFT correspondence. We provide a spectral analysis of an AdS Schwarzschild black hole near its photon sphere. We find that quasinormal modes near the photon sphere reflect the AdS boundary, resulting in a peculiar spectral pattern. Our large angular momentum analysis owes to an analogue to solvable Schrödinger equations such as an inverted harmonic oscillator and the Pöschl-Teller model, with a Dirichlet boundary condition. Through the AdS/CFT dictionary, it predicts the existence of a peculiar subsector in the large angular momentum spectrum of thermal holographic CFTs on a sphere.

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