Locally Anisotropic Structures and Nonlinear Connections in Einstein and Gauge Gravity
arXiv:gr-qc/0009039 · doi:10.1023/A:1022388909622
Abstract
We analyze local anisotropies induced by anholonomic frames and associated nonlinear connections in general relativity and extensions to affine Poincare and de Sitter gauge gravity and different types of Kaluza-Klein theories. We construct some new classes of cosmological solutions of gravitational field equations describing Friedmann-Robertson-Walker like universes with rotation (ellongated and flattened) ellipsoidal or torus symmetry.
37 pages
References in corpus (10)
- Anholonomic Soliton-Dilaton and Black Hole Solutions in General Relativity
- Gauge and Einstein Gravity from Non-Abelian Gauge Models on Noncommutative Spaces
- Ellipsoidal, Cylindrical, Bipolar and Toroidal Wormholes in 5D Gravity
- Locally Anisotropic Kinetic Processes and Thermodynamics in Curved Spaces
- Dirac Spinor Waves and Solitons in Anisotropic Taub-NUT Spaces
- Locally Anisotropic Wormholes and Flux Tubes in 5D Gravity
- Anholonomic Frames, Generalized Killing Equations, and Anisotropic Taub NUT Spinning Spaces
- Warped, Anisotropic Wormhole/Soliton Configurations in Vacuum 5D Gravity
- Warped Solitonic Deformations and Propagation of Black Holes in 5D Vacuum Gravity
- Noncommutative Finsler Geometry, Gauge Fields and Gravity
Cited by in corpus (12)
- Exact Solutions with Noncommutative Symmetries in Einstein and Gauge Gravity
- Finsler and Lagrange Geometries in Einstein and String Gravity
- Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes
- Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
- Lagrange-Fedosov Nonholonomic Manifolds
- On General Solutions for Field Equations in Einstein and Higher Dimension Gravity
- On a covariant version of Caianiello's Model
- Nonlinear Connections and Nearly Autoparallel Maps in General Relativity
- Two-Connection Renormalization and Nonholonomic Gauge Models of Einstein Gravity
- Ellipsoidal shapes in general relativity: general definitions and an application
- Nonassicative cosmological solitonic R-flux deformations in gauge gravity and G. Perelman geometric flow thermodynamics
- General off-diagonal integrability of metric and nonmetric geometric flow and Finsler-Lagrange-Hamilton modified Einstein equations