English

Locally Anisotropic Structures and Nonlinear Connections in Einstein and Gauge Gravity

General Relativity and Quantum Cosmology 2015-06-25 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/0009039,
  title  = {Locally Anisotropic Structures and Nonlinear Connections in Einstein and Gauge Gravity},
  author = {Sergiu I. Vacaru and Heinz Dehnen},
  journal= {arXiv preprint arXiv:gr-qc/0009039},
  year   = {2015}
}

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37 pages