2009/08/31 by Plamen Fiziev, Plamen P. Fiziev · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Pulsars and Gravitational Waves Research #astro-ph.HE #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/27/13/135001
published as Class. Quant. Grav.27:135001, 2010 · 27 pages, LaTeX file, no figures. Final version
openalex publication_date 2010/05/11 · arxiv created 2010/05/12 · arxiv updated 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Teukolsky Master Equation describes perturbations of the Kerr metric in linear approximation. It admits separation of variables, thus yielding the Teukolsky Radial Equation and the Teukolsky Angular Equation. We present here a unified description of all classes of exact solutions to these equations in terms of the confluent Heun functions and the confluent Heun polynomials. Large classes of new exact solutions are found and described together with their characteristic properties. Special attention is paid to the polynomial solutions which are singular ones and describe collimated one-wayrunning waves. It is shown that a proper linear combination of such singular solutions can describe bounded one-way-running waves. 1