Quasinormal mode spectrum of the AdS black hole with the Robin boundary condition
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916136614887424 |
|---|---|
| author | Kinoshita, Shunichiro Kozuka, Tomohiro Murata, Keiju Sugawara, Keita |
| author_facet | Kinoshita, Shunichiro Kozuka, Tomohiro Murata, Keiju Sugawara, Keita |
| contents | 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 $ϕ_1$ and $ϕ_2$, respectively, we assume a linear relation between them as $ϕ_2 = \cot(θ/2) ϕ_1$, where $θ$ is a constant called the Robin parameter and periodic under $θ\simθ+2π$. 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: $θ=0\to2π$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17942 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasinormal mode spectrum of the AdS black hole with the Robin boundary condition Kinoshita, Shunichiro Kozuka, Tomohiro Murata, Keiju Sugawara, Keita General Relativity and Quantum Cosmology High Energy Physics - Theory 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 $ϕ_1$ and $ϕ_2$, respectively, we assume a linear relation between them as $ϕ_2 = \cot(θ/2) ϕ_1$, where $θ$ is a constant called the Robin parameter and periodic under $θ\simθ+2π$. 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: $θ=0\to2π$. 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. |
| title | Quasinormal mode spectrum of the AdS black hole with the Robin boundary condition |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2305.17942 |