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.
- Publication:
-
The Eleventh Marcel Grossmann Meeting On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories
- Pub Date:
- September 2008
- DOI:
- 10.1142/9789812834300_0364
- Bibcode:
- 2008mgm..conf.2211H