Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-06-26
ActaPhys.Polon.B38:81-89,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
6 pages, no figures, freely available from http://th-www.if.uj.edu.pl/acta/
Scientific paper
We adopt Leaver's method to determine quasi normal frequencies of the Schwarzschild black hole in higher (D >= 10) dimensions. In D-dimensional Schwarzschild metric, when D increases, more and more singularities, spaced uniformly on the unit circle |r|=1, approach the horizon at r = r_h = 1. Thus, a solution satisfying the outgoing wave boundary condition at the horizon must be continued to some mid point and only then the continued fraction condition can be applied. This prescription is general and applies to all cases for which, due to regular singularities on the way from the point of interest to the irregular singularity, Leaver's method in its original setting breaks down. We illustrate the method calculating gravitational vector and tensor quasinormal frequencies of the Schwarzschild black hole in D=11 and D=10 dimensions. We also give the details for the D=9 case, considered in gr-qc/0511064.
No associations
LandOfFree
Quasinormal frequencies of D-dimensional Schwarzschild black holes: evaluation via continued fraction method 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 Quasinormal frequencies of D-dimensional Schwarzschild black holes: evaluation via continued fraction method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasinormal frequencies of D-dimensional Schwarzschild black holes: evaluation via continued fraction method will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-400130