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

R. A. Konoplya
Phys. Rev. D 68, 024018 – Published 11 July 2003
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Abstract

We study characteristic (quasinormal) modes of a D-dimensional Schwarzschild black hole. It is shown 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 Dr01. 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 third order beyond the eikonal approximation, is extended to the sixth order here. This gives us an accurate and economic way to compute quasinormal frequencies.

  • Received 12 April 2003

DOI:https://doi.org/10.1103/PhysRevD.68.024018

©2003 American Physical Society

Authors & Affiliations

R. A. Konoplya*

  • Department of Physics, Dniepropetrovsk National University, St. Naukova 13, Dniepropetrovsk 49050, Ukraine

  • *Email address: konoplya@ff.dsu.dp.ua

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Vol. 68, Iss. 2 — 15 July 2003

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