2004/11/10 by Nikodem Szpak, Szpak, Nikodem · 4 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Geophysics and Sensor Technology #Pulsars and Gravitational Waves Research #Seismic Imaging and Inversion Techniques #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0411050
15 pages, 6 figures
arxiv created 2004/11/10 · arxiv updated 2009/12/01
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.