Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies

Details Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies

2010-01-31

arxiv.org/abs/1002.0121v4

Phys.Rev.D81:104039,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v2: One reference corrected, typos fixed. v3: We now discuss the meaning of superluminal dispersion relations for the "surface

Scientific paper

10.1103/PhysRevD.81.104039

We consider a wide class of static spherically symmetric black holes of arbitrary dimension with a photon sphere (a hypersurface on which a massless particle can orbit the black hole on unstable circular null geodesics). This class includes various spacetimes of physical interest such as Schwarzschild, Schwarzschild-Tangherlini and Reissner-Nordstr\"om black holes, the canonical acoustic black hole or the Schwarzschild-de Sitter black hole. For this class of black holes, we provide general analytical expressions for the Regge poles of the $S$-matrix associated with a massless scalar field theory. This is achieved by using third-order WKB approximations to solve the associated radial wave equation. These results permit us to obtain analytically the nonlinear dispersion relation and the damping of the "surface waves" lying close to the photon sphere as well as, from Bohr-Sommerfeld-type resonance conditions, formulas beyond the leading order terms for the complex frequencies corresponding to the weakly damped quasinormal modes

Affiliated with

Also associated with

No associations

Rating

Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies 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 Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-347368