Berlin 2005 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 16: Klassische ART und Kosmologie

GR 16.4: Vortrag

Dienstag, 8. März 2005, 17:15–17:30, TU BH262

Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations — •Nikodem Szpak — Institut für Theoretische Physik, J.W.Goethe Universität Frankfurt, 60054 Frankfurt/Main

Solutions for a class of wave equations with effective potentials are obtained by a method of a Laplace-transform. Quasinormal modes appear naturally in the solutions only in a spatially truncated form, their coefficients are uniquely determined by the initial data and are constant only in some region of spacetime – in contrast to normal modes. This solves the problem of divergence of the usual expansion into spatially unbounded quasinormal modes and a contradiction with the causal propagation of signals. It also partially answers the question about the region of validity of the expansion. Results of numerical simulations are presented. They fully support the theoretical predictions.