Quasinormal behavior of massless scalar field perturbation in Reissner-Nordstroem anti-de Sitter spacetimes

Journal Article · Wed Sep 15 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.064025· OSTI ID:20705247

Bin, Wang; Chiyong, Lin; Molina, C ^[1]

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1. Department of Physics, Fudan University, 200433 Shanghai (China)

We present a comprehensive study of the massless scalar field perturbation in the Reissner-Nordstroem anti-de Sitter (RNAdS) space-time and compute its quasinormal modes (QNM). For the lowest lying mode, we confirm and extend the dependence of the QNM frequencies on the black hole charge obtained in previous works. In near extreme limit, under the scalar perturbation we find that the imaginary part of the frequency tends to zero, which is consistent with the previous conjecture based on electromagnetic and axial gravitational perturbations. For the extreme value of the charge, the asymptotic field decay is dominated by a power-law tail, which shows that the extreme black hole can still be stable to scalar perturbations. We also study the higher overtones for the RNAdS black hole and find large variations of QNM frequencies with the overtone number and black hole charge. The nontrivial dependence of frequencies on the angular index l is also discussed.

• OSTI ID: 20705247
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
DE SITTER GROUP
DECAY
DISTURBANCES
GRAVITATION
SCALAR FIELDS
SPACE-TIME
VARIATIONS