Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes

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  • 4 March 2003
Abstract
According to a recent proposal, the so-called Barbero-Immirzi parameter of Loop Quantum Gravity can be fixed, using Bohr's correspondence principle, from a knowledge of highly-damped black hole oscillation frequencies. Such frequencies are rather difficult to compute, even for Schwarzschild black holes. However, it is now quite likely that they may provide a fundamental link between classical general relativity and quantum theories of gravity. Here we carry out the first numerical computation of very highly damped quasinormal modes (QNM's) for charged and rotating black holes. In the Reissner-Nordstr\"om case QNM frequencies and damping times show an oscillatory behaviour as a function of charge, and the oscillations become faster as the mode order increases. Kerr QNM's tend to approach the pure-imaginary axis at some critical rotation rate, which becomes small (but probably remains finite) as the modes' imaginary part approaches infinity.

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