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Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics

Sergiu I. Vacaru·Mihai Visinescu
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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.

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Sergiu I. Vacaru, Mihai Visinescu. 2007-02-02. Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics. https://doi.org/10.1142/s0217751x07035045

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