Slow relaxation of rapidly rotating black holes

Details Slow relaxation of rapidly rotating black holes Slow relaxation of rapidly rotating black holes

2008-11-24

arxiv.org/abs/0811.3806v1

Phys.Rev.D78:084035,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1103/PhysRevD.78.084035

We study analytically the relaxation phase of perturbed, rapidly rotating black holes. In particular, we derive a simple formula for the fundamental quasinormal resonances of near-extremal Kerr black holes. The formula is expressed in terms of the black-hole physical parameters: omega=m Omega-i2 pi T(n+1/2), where T and Omega are the temperature and angular velocity of the black hole, and m is the azimuthal harmonic index of a co-rotating equatorial mode. This formula implies that the relaxation period tau sim 1/Im(omega) of the black hole becomes extremely long as the extremal limit T to 0 is approached. The analytically derived formula is shown to agree with direct numerical computations of the black-hole resonances. We use our results to demonstrate analytically the fact that near-extremal Kerr black holes saturate the recently proposed universal relaxation bound.

Affiliated with

Also associated with

No associations

Rating

Slow relaxation of rapidly rotating black holes 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 Slow relaxation of rapidly rotating black holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Slow relaxation of rapidly rotating black holes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-644734