GT6 - Exact Solutions (mathematical aspects) |
Speaker_ |
Williams, Jeff |
Co-autors |
Tina A. Harriott |
Talk _ |
Euler Numbers on Cobordant Hypersurfaces |
Abstract _ |
When two hypersurfaces are mediated by a Lorentz cobordism, a homology selection rule restricts the number of general relativistic kinks that can occur on the hypersurfaces. In 2+1 dimensions, this selection rule translates to the requirement that the difference in the number of kinks on the two hypersurfaces be balanced by a corresponding difference in Euler number. This is explored for a particular spacetime by using a tetrad-based Jacobian integral formula for calculating the kink number. |