A Time Independent Energy Estimate for Outgoing Scalar Waves in the Kerr Geometry
Mathematical Physics
2014-01-28 v2 General Relativity and Quantum Cosmology
math.MP
Abstract
The Cauchy problem for the scalar wave equation in the Kerr geometry is considered, with initial data which is smooth and compactly supported outside the event horizon. A time-independent energy estimate for the outgoing wave is obtained. As an application we estimate the outgoing energy for wave-packet initial data, uniformly as the support of the initial data is shifted to infinity. The main mathematical tool is our previously derived integral representation of the wave propagator.
Keywords
Cite
@article{arxiv.0707.2290,
title = {A Time Independent Energy Estimate for Outgoing Scalar Waves in the Kerr Geometry},
author = {Felix Finster and Joel Smoller},
journal= {arXiv preprint arXiv:0707.2290},
year = {2014}
}
Comments
31 pages, LaTeX, minor changes (published version)