Domain with Noncompactified Extra Dimensions in Multidimensional Universe with Compactified Extra Dimensions

TL;DR

This paper explores wormhole-like solutions in multidimensional gravity with noncompactified extra dimensions, connecting black holes with gauge fields, and discusses their duality with black holes in a universe with compactified extra dimensions.

Contribution

It introduces a new class of wormhole-like solutions in multidimensional gravity with noncompactified extra dimensions, linking them to black holes via gauge fields.

Findings

Found wormhole-like solutions between null surfaces in multidimensional gravity.

Linked these solutions to black holes with gauge fields in a compactified universe.

Showed duality between these wormholes and black holes.

Abstract

It is supposed that in our Universe with compactified extra dimensions (ED) the domains exist with noncompactified ED. Such domain can be a wormhole-like solution in multidimensional gravity (MD), located between two null surfaces. With the availability of compactification mechanism this MD domain can be joined on null surfaces with two black holes filled by gauge field. Solution of this kind in MD gravity on the principal bundle with structural group SU(3) is obtained. This solution is wormhole-like object located between two null surfaces $ds^2=0$. In some sense these solutions are dual to black holes: they are statical spherically symmetric solutions under null surfaces whereas black holes are statical spherically symmetric solutions outside of event horizon.