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

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

2006-09-20

arxiv.org/abs/gr-qc/0609085v2

Int.J.Mod.Phys.A22:1135-1160,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex2e, final variant to be published in IJMPA

Scientific paper

10.1142/S0217751X07035045

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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