Quasi normal modes: A simple derivation of the level spacing of the frequencies

Details Quasi normal modes: A simple derivation of the level spacing of the frequencies Quasi normal modes: A simple derivation of the level spacing of the frequencies

2003-10-05

arxiv.org/abs/gr-qc/0310027v1

Class.Quant.Grav. 21 (2004) L1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

10.1088/0264-9381/21/1/L01

It is known that the imaginary parts of the frequencies of the quasi normal modes of the Schwarzschild black hole are equally spaced, with the level spacing dependent only on the surface gravity. We generalize this result to a wider class of spacetimes and provide a simple derivation of the imaginary parts of the frequencies. The analysis shows that the result is closely linked to the thermal nature of horizons and arises from the exponential redshift of the wave modes close to the horizon.

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