Oscillations of a black hole

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Oscillations, Rotating Matter, Circular Orbits, Damping, Perturbation

Scientific paper

A new analytic method for the determination of quasinormal oscillations of a black hole is presented. It is based on a connection between the quasinormal modes and the bound states of the inverted black-hole potentials. With use of this method, the quasinormal frequencies of a Schwarzschild, a Reissner-Nordström, and a slowly rotating Kerr black hole are determined in the eikonal approximation. Moreover, the authors provide evidence for the stability of an extreme Kerr black hole.

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