Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and
Nonsymmetric Metrics
Sergiu I. Vacaru,
2008.06.24
http://arxiv.org/abs/0806.3812
We provide a proof that nonholonomically constrained Ricci flows of (pseudo)
Riemannian metrics positively result into nonsymmetric metrics (as explicit
examples, we consider flows of some physically valuable exact solutions in
general relativity). There are constructed and analyzed three classes of
solutions of Ricci flow evolution equations defining nonholonomic deformations
of Taub NUT, Schwarzschild, solitonic and ppwave symmetric metrics into
nonsymmetric ones.
