Living Reviews in Relativity

"Analytic Black Hole Perturbation Approach to Gravitational Radiation"
by
Misao Sasaki and Hideyuki Tagoshi  

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Abstract
1 Introduction
2 Basic Formulae for the Black Hole Perturbation
3 Post-Newtonian Expansion of the Regge–Wheeler Equation
4 Analytic Solutions of the Homogeneous Teukolsky Equation by Means of the Series Expansion of Special Functions
5 Gravitational Waves from a Particle Orbiting a Black Hole
6 Conclusion
7 Acknowledgements
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