Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics
Sergiu I. Vacaru, Mihai Visinescu
TL;DR
This paper develops new geometric methods to construct and analyze Ricci flow solutions for 4D Taub-NUT spacetimes, exploring nonholonomic deformations and the transition to torsion-free configurations.
Contribution
It introduces innovative techniques for generating Ricci flow solutions with off-diagonal metrics and nonlinear connections in 4D Taub-NUT spacetimes.
Findings
Exact Ricci flow solutions for 4D Taub-NUT metrics
Framework for transitioning from torsionful to Levi-Civita configurations
Analysis of off-diagonal metric effects on Ricci flows
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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