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The Fermionic Signature Operator in the Exterior Schwarzschild Geometry

Finster, Felix ; Röken, Christian



Abstract

The structure of the solution space of the Dirac equation in the exterior Schwarzschild geometry is analyzed. Representing the space-time inner product for families of solutions with variable mass parameter in terms of the respective scalar products, a so-called mass decomposition is derived. This mass decomposition consists of a single mass integral involving the fermionic signature operator as ...

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