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Spectral Theory and Index Theorems for Stationary Spacetimes

Description:

We present both semiclassical asymptotics for the wave equation on a stationary Kaluza-Klein spacetime and an index theorem describing the difference of the positive-frequency spectral projectors for two stationary regions in a globally hyperbolic spacetime. The first result involves analyzing the restrictions of the wave trace to isotypic subspaces for...

Keyword:

Kaluza-Klein, Spacetime, Quantum, Spectral, Index, and Dirac

Subject:

Mathematics

Creator:

McCormick, Anthony Ryan

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

05/31/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:16527 and etdadmin_upload_984183