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GR: Gravitation und Relativitätstheorie

GR 102: Mathematische Methoden

GR 102.1: Talk

Monday, March 20, 2006, 16:30–16:50, K

The change of differential structure and the resolution of singularities — •Torsten Asselmeyer-Maluga — FhG FIRST, Kekulestr. 7, 12489 Berlin

The space-time seen as 4-dimensional manifold can admit a varity of different differential structures or non-equivalent reference frames by a fixed topology. By the general formalism of singular connections, developed by Harvey and Lawson, it is shown that a singularity in Einsteins general relativity theory can be resolved by using the change of the differential structure. The consequences are discussed.