Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and Nonsymmetric Metrics
General Relativity and Quantum Cosmology
2009-02-18 v2 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Abstract
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 pp--wave symmetric metrics into nonsymmetric ones.
Keywords
Cite
@article{arxiv.0806.3812,
title = {Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and Nonsymmetric Metrics},
author = {Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:0806.3812},
year = {2009}
}
Comments
latex2e, 12pt, 40 pages, version 2 with minor modifications, to be published in Int. J. Theor. Phys