Abstract
I present some applications of geometric flows in string theory and gravity. In some circumstances time evolution in string theory can be approximately identified with Ricci-flow parametric evolution of spatial sections. In four dimensions, homogeneous, self-dual, gravitational instantons of general relativity evolve in time exactly as geometric flows of homogeneous three-manifolds. For non-relativistic versions of gravity, this property persists in any dimension, under the assumption of detailed-balance condition.
| Original language | English |
|---|---|
| Pages (from-to) | 839-845 |
| Number of pages | 7 |
| Journal | Fortschritte der Physik |
| Volume | 58 |
| Issue number | 7-9 |
| DOIs | |
| Publication status | Published - 1 Jan 2010 |
Keywords
- Geometric flows
- Gravitational instantons
- String cosmology