On the spectrum of oscillations of a Schwarzschild black hole

Details On the spectrum of oscillations of a Schwarzschild black hole On the spectrum of oscillations of a Schwarzschild black hole

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13..233l&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 2, pp. 233-251 (1996).

Physics

21

Scientific paper

The spectral properties of the resonant oscillations of a Schwarzschild black hole are studied. The analogy with the Coulomb wave equation is developed, and it is shown that the high-overtone quasi-normal modes are intimately connected with the long-range nature of the gravitational interaction. This is followed by an explicit construction of the quasi-normal eigenfunctions in analogy with the bound states of the inverted black-hole potentials. The special gravitational quasi-normal mode is discussed and its relationship with the algebraically special solution of the gravitational perturbations is clarified.

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