• Asymptotic Distribution of Qua...

Result: Asymptotic Distribution of Quasi-Normal Modes for Kerr-de Sitter Black Holes

Title:
Asymptotic Distribution of Quasi-Normal Modes for Kerr-de Sitter Black Holes
Authors:
DYATLOV, Semyon
Source:
Annales Henri Poincaré. 13(5):1101-1166
Publisher Information:
Heidelberg: Springer, 2012.
Publication Year:
2012
Physical Description:
print, 54 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Physics, Physique, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Algèbre, Algebra, Algèbres et anneaux commutatifs, Commutative rings and algebras, Probabilités et statistiques, Probability and statistics, Statistiques, Statistics, Lois de probabilités, Distribution theory, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Energie, Energy, Equation onde, Wave equations, Fréquence oscillation, Oscillation frequency, Frecuencia oscilación, Interprétation, Interpretation, Interpretación, Largeur, Width, Loi normale, Normal distribution, Multiplicité, Multiplicity, Méthode numérique, Numerical method, Método numérico, Normalité asymptotique, Asymptotic normality, Normalidad asintótica, Onde gravitationnelle, Gravitational waves, Physique mathématique, Mathematical physics, Symétrie sphérique, Spherical symmetry, Simetría esférica, Trou noir, Black holes, 13H15, 35J05, 62E20, 65C20, 65K15, Loi asymptotique, Solution équation, Splitting
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics University of California Evans Hall, Berkeley CA 94720, United States
ISSN:
1424-0637
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=26007574
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics

Theoretical physics
Accession Number:
edscal.26007574
Database:
PASCAL Archive

Further Information

We establish a Bohr-Sommerfeld type condition for quasi-normal modes of a slowly rotating Kerr-de Sitter black hole, providing their full asymptotic description in any strip of fixed width. In particular, we observe a Zeeman-like splitting of the high multiplicity modes at a = 0 (Schwarzschild-de Sitter), once spherical symmetry is broken. The numerical results presented in Appendix B show that the asymptotics are in fact accurate at very low energies and agree with the numerical results established by other methods in the physics literature. We also prove that solutions of the wave equation can be asymptotically expanded in terms of quasi-normal modes; this confirms the validity of the interpretation of their real parts as frequencies of oscillations, and imaginary parts as decay rates of gravitational waves.