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

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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.
latex2e, final variant to be published in IJMPA

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General Relativity and Quantum Cosmology, High Energy Physics - Theory, Mathematical Physics, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/181506

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0609085
 http://arxiv.org/abs/gr-qc/0609085
 Int.J.Mod.Phys.A22:1135-1160,2007
 doi:10.1142/S0217751X07035045

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arXiv