publication . Other literature type . 0044 . 2012

Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes

Schlue, Volker;
English
  • Published: 03 Jul 2012
  • Publisher: Department of Pure Mathematics and Mathematical Statistics
Abstract
I study linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes. In the first part of this thesis two decay results are proven for general finite energy solutions to the linear wave equation on higher dimensional Schwarzschild black holes. I establish uniform energy decay and improved interior first order energy decay in all dimensions with rates in accordance with the 3 + 1-dimensional case. The method of proof departs from earlier work on this problem. I apply and extend the new physical space approach to decay of Dafermos and Rodnianski. An integrated local energy decay estimate for the wave equation on higher...
Subjects
arxiv: General Relativity and Quantum Cosmology
free text keywords: Mathematical general relativity, Wave equations on black hole spacetimes
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publication . Other literature type . 0044 . 2012

Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes

Schlue, Volker;