Quasinormal frequencies of Schwarzschild black holes in anti–de Sitter spacetimes: A complete study of the overtone asymptotic behavior
By V. Cardoso, R. Konoplya, J. Lemos. 2003
176 citations recorded by the source corpus.
We present a thorough analysis of the quasinormal (QN) behavior associated with the decay of scalar, electromagnetic, and gravitational perturbations of Schwarzschild black holes in anti\char21{}de Sitter (AdS) spacetimes. As is known, the AdS QN spectrum crucially depends on the relative size of the black hole to the AdS radius. There are three different types of behavior depending on whether the black hole is large, intermediate, or small. The results of previous works, concerning lower overtones for large black holes, are completed here by obtaining higher overtones for all three black hole regimes. There are two major conclusions that one can draw from this work: First, asymptotically for high overtones, all the modes are evenly spaced, and this holds for all three types of regime, large, intermediate, and small black holes, independently of l, where l is the quantum number characterizing the angular distribution; second, the spacing between modes is apparently universal in that it does not depend on the field; i.e., scalar, electromagnetic, and gravitational QN modes all have the same spacing for high overtones. We are also able to prove why scalar and gravitational perturbations are isospectral, asymptotically for high overtones, by introducing appropriate superpartner potentials.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/bfd88e2bf43130d753e6d4b5b7cfeafc3dfcc131
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- On the classification of asymptotic quasinormal frequencies for $d$-dimensional black holes and quantum gravity (2004, methodology): “The AdS Solution: This case was studied before in [26] for a massless scalar field, and in [ 27 ] for d = 4 tensor and vector type perturbations.”
- Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS (2013, result): “ll signicant digits the numerical results reported in Ref. [49]. Furthermore, we recover all known results from gravitational perturbations of Schwarzschild-AdS BHs with the same boundary conditions [31, 50, 10, 30]. Finally, we note that an important symmetry of the relevant perturbation equations ”