"Quasi-Normal Modes of Stars and Black Holes"
by
Kostas D. Kokkotas and Bernd G. Schmidt
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Abstract
1
Introduction
2
Normal Modes – Quasi-Normal Modes – Resonances
3
Quasi-Normal Modes of Black Holes
3.1
Schwarzschild black holes
3.2
Kerr black holes
3.3
Stability and completeness of quasi-normal modes
4
Quasi-Normal Modes of Relativistic Stars
4.1
Stellar pulsations: The theoretical minimum
4.2
Mode analysis
4.3
Stability
5
Excitation and Detection of QNMs
5.1
Studies of black hole QNM excitation
5.2
Studies of stellar QNM excitation
5.3
Detection of the QNM ringing
5.4
Parameter estimation
6
Numerical Techniques
6.1
Black holes
6.2
Relativistic stars
7
Where Are We Going?
7.1
Synergism between perturbation theory and numerical relativity
7.2
Second order perturbations
7.3
Mode calculations
7.4
The detectors
8
Acknowledgments
A
Appendix: Schrödinger Equation Versus Wave Equation
References
Footnotes
Figures
Tables
