Les résonances d'un trou noir de Schwarzschild.

Details Les résonances d'un trou noir de Schwarzschild. Les résonances d'un trou noir de Schwarzschild.

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aihs...59....3b&link_type=abstract

Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 59, No. 1, p. 3 - 68

Statistics

Computation

Scientific paper

This paper is devoted to the theoretical and computational investigations of the scattering frequencies of scalar, electromagnetic, gravitational waves around a spherical black hole. The authors adopt a time dependent approach: construction of wave operators for the hyperbolic Regge-Wheeler equation; asymptotic completeness; outgoing and incoming spectral representations; meromorphic continuation of the Heisenberg matrix; approximation by dumping and cut-off of the potentials and interpretation of the semi group Z(t) in the framework of the membrane paradigma. They develop a new procedure for the computation of the resonances by the spectral analysis of the transient scattered wave, based on Prony's algorithm.

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