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Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems

URN to cite this document:
urn:nbn:de:bvb:355-epub-330699
DOI to cite this document:
10.5283/epub.33069
Finster, Felix ; Röken, Christian
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Date of publication of this fulltext: 17 Dec 2015 08:21



Abstract

We consider a boundary value problem for the Dirac equation in a four-dimensional, smooth, asymptotically flat Lorentzian manifold admitting a Killing field which is timelike near and tangential to the boundary. A self-adjoint extension of the Dirac Hamiltonian is constructed. Our results also apply to the situation that the space-time includes horizons, where the Hamiltonian fails to be elliptic.


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