Fe b 20 07 Nonholonomic Ricci Flows and Running Cosmological Constant : I . 4 D Taub – NUT Metrics
نویسندگان
چکیده
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.
منابع مشابه
2 0 Se p 20 06 Nonholonomic Ricci Flows and Running Cosmological Constant : II . 3 D Taub – NUT Metrics
The common assertion that the Ricci flows of Einstein spaces with cosmological constant can be modelled by certain classes of nonholonomic frame, metric and linear connection deformations resulting in nonhomogeneous Einstein spaces is examined in the light of the role played by topological three dimensional (3D) Taub–NUT–AdS/dS spacetimes.
متن کامل0 Se p 20 06 Nonholonomic Ricci Flows and Running Cosmological Constant : I . 4 D Taub – NUT Metrics
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/...
متن کاملqc / 0 60 90 86 v 2 1 1 O ct 2 00 7 Nonholonomic Ricci Flows and Running Cosmological Constant : 3 D Taub – NUT Metrics
The common assertion that the Ricci flows of Einstein spaces with cosmological constant can be modelled by certain classes of nonholonomic frame, metric and linear connection deformations resulting in nonhomogeneous Einstein spaces is examined in the light of the role played by topological three dimensional (3D) Taub–NUT–AdS/dS spacetimes.
متن کاملv 2 2 F eb 2 00 7 Nonholonomic Ricci Flows and Running Cosmological Constant : I . 4 D Taub – NUT Metrics
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/...
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