# Bonn 2010 – wissenschaftliches Programm

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# T: Fachverband Teilchenphysik

## T 13: QCD (Theorie) IV / Quantenfeldtheorie II

### T 13.8: Vortrag

### Donnerstag, 18. März 2010, 18:40–18:55, HG XVI

**Stabilizing topologically nontrivial spacetimes with an ***SO*(3)**-Skyrme field** — •Markus Schwarz — Institut für Theoretische Physik, Universität Karlsruhe, KIT

One possible result of a theory of quantum gravity is that spacetime might have a "foamy" and topologically nontrivial
structure on small scales. Since there is no complete theory of quantum gravity yet, we investigate classical models with nontrivial spacetime topology. One of these is an *SO*(3)-Skyrme model interacting with gravity on spacetimes of topology *R*× *SO*(3).

This particular class of spacetimes can be realized by cutting a ball of radius *b* out of Minkowski spacetime and identifying antipodal points. To prevent a spacetime with such a defect from collapsing, an *SO*(3)-valued scalar field together with a Skyrme Lagrangian is added.

The resulting Einstein-*SO*(3)-Skyrme model admits classical solutions where the *SO*(3)-Skyrme field has integer winding number. For odd winding numbers there exists a nonzero radius *b* that minimizes the mass of the spacetime. This means that we have found a potentially stable spacetime with nontrivial topology. We briefly discuss similarities to and differences from the Einstein-*SU*(2)-Skyrme model.