Locally Anisotropic Structures and Nonlinear Connections in Einstein and Gauge Gravity

Details Locally Anisotropic Structures and Nonlinear Connections in Einstein and Gauge Gravity Locally Anisotropic Structures and Nonlinear Connections in Einstein and Gauge Gravity

2000-09-12

arxiv.org/abs/gr-qc/0009039v1

Gen.Rel.Grav. 35 (2003) 209-250

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages

Scientific paper

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.

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