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


Journal of Physical Mathematics

Author(s): Sergiu I Vacaru Mihai Visine

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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.

This article was published in Int.J.Mod.Phys and referenced in Journal of Physical Mathematics

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