Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-04-07
Class.Quant.Grav. 20 (2003) 3441-3464
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, RevTeX, 7 ps figs
Scientific paper
10.1088/0264-9381/20/15/312
We discuss simple integration methods for the calculation of rotating black hole scattering resonances both in the complex frequency plane (quasinormal modes) and the complex angular momentum plane (Regge poles). Our numerical schemes are based on variations of "phase-amplitude" methods. In particular, we discuss the Pruefer transformation, where the original (frequency domain) Teukolsky wave equation is replaced by a pair of first-order non-linear equations governing the introduced phase functions. Numerical integration of these equations, performed along the real coordinate axis, or along rotated contours in the complex coordinate plane, provides the required S-matrix element (the ratio of amplitudes of the outgoing and ingoing waves at infinity). Mueller's algorithm is then employed to conduct searches in the complex plane for the poles of this quantity (which are, by definition, the desired resonances). We have tested this method by verifying known results for Schwarzschild quasinormal modes and Regge poles, and provide new results for the Kerr black hole problem. We also describe a new method for estimating the "excitation coefficients" for quasinormal modes. The method is applied to scalar waves moving in the Kerr geometry, and the obtained results shed light on the long-lived quasinormal modes that exist for black holes rotating near the extreme Kerr limit.
Andersson Nils.
Glampedakis Kostas
No associations
LandOfFree
Quick and dirty methods for studying black-hole resonances does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quick and dirty methods for studying black-hole resonances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quick and dirty methods for studying black-hole resonances will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-521942