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arXiv · 1710.04512

Wave and Dirac equations on manifolds

Lars Andersson·Christian Baer
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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.

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Lars Andersson, Christian Baer. 2018-04-17. Wave and Dirac equations on manifolds. https://doi.org/10.1515/9783110452150-013

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