Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Abstract
In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions. Some conceptual issues on spacetimes provided with generic off-diagonal metrics and associated nonlinear connection structures are analyzed. The limit from gravity/Ricci flow models with nontrivial torsion to configurations with the Levi-Civita connection is allowed in some specific physical circumstances by constraining the class of integral varieties for the Einstein and Ricci flow equations.
Keywords
Cite
@article{arxiv.gr-qc/0609085,
title = {Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics},
author = {Sergiu I. Vacaru and Mihai Visinescu},
journal= {arXiv preprint arXiv:gr-qc/0609085},
year = {2008}
}
Comments
latex2e, final variant to be published in IJMPA