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NONHOLONOMIC RICCI FLOWS AND RUNNING COSMOLOGICAL CONSTANT I: 4D TAUB-NUT METRICS

The Fields Institute for Research in Mathematical Science, 222 College Street, Second Floor, Toronto, Ontario M5T 3J1, Canada

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and

MIHAI VISINESCU

Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering, P.O. Box M.G.-6, Magurele, Bucharest, Romania

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https://doi.org/10.1142/S0217751X07035045Cited by:11 (Source: Crossref)

Abstract

In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four-dimensional (4D) Taub-NUT space–times. It is outlined a new geometric technique of constructing Ricci flow solutions. Some conceptual issues on space–times 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:

PACS: 04.20.Jb, 04.30.Nk, 04.50.+h, 04.90.+e, 02.30.Jk

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