Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach

Details Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach

2003-03-12

arxiv.org/abs/gr-qc/0303052v5

Phys.Rev.D68:024018,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, LaTeX, 6 figures, the 6th order WKB formula for computing QNMs in Mathematica is available from the author upon requ

Scientific paper

10.1103/PhysRevD.68.024018

We study characteristic (quasinormal) modes of a $D$-dimensional Schwarzshild black hole. It proves out that the real parts of the complex quasinormal modes, representing the real oscillation frequencies, are proportional to the product of the number of dimensions and inverse horizon radius $\sim$ $D$ $r_{0}^{-1}$. The asymptotic formula for large multipole number $l$ and arbitrary $D$ is derived. In addition the WKB formula for computing QN modes, developed to the 3th order beyond the eikonal approximation, is extended to the 6th order here. This gives us an accurate and economic way to compute quasinormal frequencies.

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