Les résonances d'un trou noir de Schwarzschild

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Titre du document / Document title

Les résonances d'un trou noir de Schwarzschild = Schwarzschild's black hole resonances

Auteur(s) / Author(s)

BACHELOT A. ; MOTET-BACHELOT A. ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

CNRS Univ. Bordeaux I, dép. mathématiques appliquées, 33405 Talence, FRANCE

Résumé / Abstract

This paper is devoted to the theoretical and computational investigations of the scattering frequencies of scalar, electromagnetic, gravitational waves around a spherical Black Hole. We 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 Paradigme. We develop a new procedure for the computation of the resonances by the spectral analysis of the transient scattered wave, based on Prony's algorithm

Revue / Journal Title

Annales de l'I.H.P. Physique théorique ISSN 0246-0211 CODEN AIPTEO

Source / Source

1993, vol. 59, n^o1, pp. 3-68 (40 ref.)

Langue / Language

Français
Revue : Multilingue

Editeur / Publisher

Elsevier, Paris, FRANCE (1983-1999) (Revue)

Localisation / Location

INIST-CNRS, Cote INIST : 3707 A, 35400004830239.0010

Nº notice refdoc (ud4) : 3976470