Analytic study of rotating black-hole quasinormal modes
May, 2007
Citations per year
Abstract: (arXiv)
A Bohr-Sommerfeld equation is derived for the highly-damped quasinormal mode frequencies omega(n>>1) of rotating black holes. It may be written as 2\int_C(p_r+ip_0)dr=(n+1/2)h, where p_r is the canonical momentum conjugate to the radial coordinate r along null geodesics of energy hbar*omega and angular momentum hbar*m, p_0=O(omega^0), and the contour C connects two complex turning points of p_r. The solutions are omega(n) = - m*omega_0 - i(phi + n*delta), where {omega_0,delta}>0 are functions of the black-hole parameters alone. Some physical implications are discussed.- 04.30.-w
- 04.70.Bw
- 03.65.Pm
- 04.70.Dy
- black hole: rotation
- black hole: quasinormal mode
- quasinormal mode: frequency
- numerical calculations
References(20)
Figures(0)