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Non-smooth differential geometry of pseudo-Riemannian manifolds: Boundary and geodesic structure of gravitational wave space-times in mathematical relativity

Fama, Christopher J

Description

This thesis is largely concerned with the changing representations of 'boundary' or 'ideal' points of a pseudo-Riemannian manifold -- and our primary interest is in the space-times of general relativity. In particular, we are interested in the following question: What assumptions about the 'nature' of 'portions' of a certain 'ideal boundary' construction (essentially the 'abstract boundary' of Scott and Szekeres (1994)) allow us to define precisely the topological type of these 'portions',...[Show more]

CollectionsOpen Access Theses
Date published: 1998
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/46917
DOI: 10.25911/5d7a2a3e1326e

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