Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume 22, Issue 6, Pages 1135-1159Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X07035045
Keywords
Ricci flows; exact solutions; Taub-NUT spaces
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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 space-times. It is outlined a new geometric technique of constructing Ricci flow solutions. Some conceptual issues on space times 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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