Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit

Details Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit

2010-09-23

arxiv.org/abs/1009.4632v2

Phys.Rev.D83:044001,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 6 figures

Scientific paper

10.1103/PhysRevD.83.044001

We study analytically the highly damped quasinormal modes of Kerr black holes in the small angular momentum limit. To check the previous analytic calculations in the literature, which use a combination of radial and tortoise coordinates, we reproduce all the results using the radial coordinate only. According to the earlier calculations, the real part of the highly damped quasinormal mode frequency of Kerr black holes approaches zero in the limit where the angular momentum goes to zero. This result is not consistent with the Schwarzschild limit where the real part of the highly damped quasinormal mode frequency is equal to c^3 ln(3)/(8 pi G M). In this paper, our calculations suggest that the highly damped quasinormal modes of Kerr black holes in the zero angular momentum limit make a continuous transition from the Kerr value to the Schwarzschild value. We explore the nature of this transition using a combination of analytical and numerical techniques. Finally, we calculate the highly damped quasinormal modes of the extremal case in which the topology of Stokes/anti-Stokes lines takes a different form.

Affiliated with

Also associated with

No associations

Rating

Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit 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 Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Spectrum of Kerr Black Holes in the Small Angular Momentum Limit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-339102