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Quasinormal modes of Schwarzschild–anti-de Sitter black holes: Electromagnetic and gravitational perturbations
Open accessAbstract
We study the quasinormal modes (QNM) of electromagnetic and gravitational perturbations of a Schwarzschild black hole in an asymptotically anti--de Sitter (AdS) spacetime. Some of the electromagnetic modes do not oscillate; they only decay, since they have pure imaginary frequencies. The gravitational modes show peculiar features: the odd and even gravitational perturbations no longer have the same characteristic quasinormal frequencies. There is a special mode for odd perturbations whose behavior differs completely from the usual one in scalar and electromagnetic perturbations in AdS spacetime, but has a similar behavior to the Schwarzschild black hole in an asymptotically flat spacetime: the imaginary part of the frequency goes as ${1/r}_{+},$ where ${r}_{+}$ is the horizon radius. We also investigate the small black-hole limit showing that the imaginary part of the frequency goes as ${r}_{+}^{2}.$ These results are important to the AdS/CFT conjecture since, according to it, the QNM's describe the approach to equilibrium in the conformal field theory.
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Self-citation
Metadata
- Authors
- Cardoso, V., & Lemos, J. P. S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2001-09-25
- Volume
- 64
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W1984055616
- Cited by
- 366
- References
- 34
- FWCI
- 10.36
- Type
- journal article
- Language
- en
- Open access
- green
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