Wave and Dirac equations on manifolds
Differential Geometry
2018-04-18 v2 General Relativity and Quantum Cosmology
Abstract
We review some recent results on geometric equations on Lorentzian manifolds such as the wave and Dirac equations. This includes well-posedness and stability for various initial value problems, as well as results on the structure of these equations on black-hole spacetimes (in particular, on the Kerr solution), the index theorem for hyperbolic Dirac operators and properties of the class of Green-hyperbolic operators.
Keywords
Cite
@article{arxiv.1710.04512,
title = {Wave and Dirac equations on manifolds},
author = {Lars Andersson and Christian Baer},
journal= {arXiv preprint arXiv:1710.04512},
year = {2018}
}
Comments
21 pages, 1 figure