Multidimensional Gravity on the Principal Bundles

TL;DR

This paper explores multidimensional gravity on principal bundles, deriving solutions that include wormhole-like structures and bouncing cosmologies, with gauge fields emerging from the metric's off-diagonal components, differing from traditional 4D theories.

Contribution

It presents new exact solutions in multidimensional gravity on SU(2) principal bundles, revealing wormhole and bouncing cosmology features without matter.

Findings

Wormhole-like static solutions between null surfaces.

Cosmology solutions exhibit bouncing behavior.

Solutions are vacuum, with gauge fields from metric components.

Abstract

The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric. The spherically symmetric and cosmology solutions for gravity on SU(2) principal bundle are obtained. The static spherically symmetric solution is wormhole-like solution located between two null surfaces, in contrast to 4D Einstein-Yang-Mills theory where corresponding solution (black hole) located outside of event horizon. Cosmology solution (at least locally) has the bouncing off effect for spatial dimensions. In spirit of Einstein these solutions are vacuum solutions without matter.