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An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime

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arxiv 1709.03911 v4 pith:5EFCLWPT submitted 2017-09-12 math-ph math.APmath.FAmath.MP

Jan Dereziński , Daniel Siemssen This is my paper · ORCID
classification math-phmath.APmath.FAmath.MP
keywords approachcurvedequationevolutionklein-gordonmainpotentialtheory
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We develop a theory of the Klein-Gordon equation on curved spacetimes. Our main tool is the method of (non-autonomous) evolution equations on Hilbert spaces. This approach allows us to treat low regularity of the metric, of the electromagnetic potential and of the scalar potential. Our main goal is a construction of various kinds of propagators needed in quantum field theory.

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  1. On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary

    math-ph 2019-08 conditional novelty 6.0 of 10

    Maxwell k-form solution spaces and observable algebras are constructed on globally hyperbolic spacetimes with timelike boundary, under a partially proven assumption on the existence of Green operators.

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