Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations

Details Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations

2004-11-10

arxiv.org/abs/gr-qc/0411050v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 6 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-480169