Quasinormal modes of black holes in anti-de Sitter space: A numerical study of the eikonal limit

Journal Article · Wed Jul 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.024024· OSTI ID:21316247

Morgan, Jaqueline; Zanchin, Vilson T ^[1]; Cardoso, Vitor ^[2]; Miranda, Alex S ^[3]; Molina, C ^[4]

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1. Centro de Ciencias Naturais e Humanas, Universidade Federal do ABC, Rua Santa Adelia 166, 09210-170 Santo Andre, SP (Brazil)
2. Centro Multidisciplinar de Astrofisica-CENTRA, Departamento de Fisica, Instituto Superior Tecnico, Av. Rovisco Pais 1, 1049-001 Lisboa (Portugal)
3. Instituto de Fisica, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, RJ 21941-972 (Brazil)
4. Escola de Artes, Ciencias e Humanidades, Universidade de Sao Paulo, Avenida Arlindo Bettio 1000, 03828-000 Sao Paulo, SP (Brazil)

Using series solutions and time-domain evolutions, we probe the eikonal limit of the gravitational and scalar-field quasinormal modes of large black holes and black branes in anti-de Sitter backgrounds. These results are particularly relevant for the AdS/CFT correspondence, since the eikonal regime is characterized by the existence of long-lived modes which (presumably) dominate the decay time scale of the perturbations. We confirm all the main qualitative features of these slowly damped modes as predicted by Festuccia and Liu [G. Festuccia and H. Liu, arXiv:0811.1033.] for the scalar-field (tensor-type gravitational) fluctuations. However, quantitatively we find dimensional-dependent correction factors. We also investigate the dependence of the quasinormal mode frequencies on the horizon radius of the black hole (brane) and the angular momentum (wave number) of vector- and scalar-type gravitational perturbations.

• OSTI ID: 21316247
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ANTI DE SITTER SPACE
BLACK HOLES
BRANES
CORRECTIONS
DISTURBANCES
EIKONAL APPROXIMATION
EVOLUTION
FLUCTUATIONS
GRAVITATIONAL FIELDS
MATHEMATICAL SOLUTIONS
NUMERICAL ANALYSIS
PERTURBATION THEORY
QUANTUM FIELD THEORY
SCALAR FIELDS
STRING MODELS