Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and Nonsymmetric Metrics

Details Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and Nonsymmetric Metrics Nonholonomic Ricci Flows, Exact Solutions in Gravity, and Symmetric and Nonsymmetric Metrics

2008-06-24

arxiv.org/abs/0806.3812v2

Int.J.Theor.Phys.48:579-606,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex2e, 12pt, 40 pages, version 2 with minor modifications, to be published in Int. J. Theor. Phys

Scientific paper

10.1007/s10773-008-9841-8

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.

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