Berlin 2005 – scientific programme
Parts | Days | Selection | Search | Downloads | Help
GR: Gravitation und Relativitätstheorie
GR 16: Klassische ART und Kosmologie
GR 16.4: Talk
Tuesday, March 8, 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.