Locally Anisotropic Structures and Nonlinear Connections in Einstein and Gauge Gravity

TL;DR

This paper explores how local anisotropies and nonlinear connections influence Einstein and gauge gravity, leading to new cosmological solutions with anisotropic universe models including rotation and various symmetries.

Contribution

It introduces novel classes of cosmological solutions in gravitational theories incorporating anisotropies and nonlinear connections, extending traditional models.

Findings

New cosmological solutions with anisotropic geometries

Models include rotating, ellipsoidal, and toroidal universes

Extensions to gauge gravity and Kaluza-Klein theories

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.