Multidimensional SU(2) wormhole between two null surfaces

TL;DR

This paper presents a multidimensional gravity model with SU(2) gauge symmetry that admits a Lorentzian wormhole solution between null surfaces, offering a dual perspective to 4D black holes in Einstein-Yang-Mills gravity.

Contribution

It introduces a novel multidimensional SU(2) gravity solution describing a wormhole between null surfaces, extending the understanding of gauge/gravity dualities.

Findings

Found a Lorentzian wormhole solution in multidimensional SU(2) gravity.

Showed the solution's duality to 4D Einstein-Yang-Mills black holes.

Identified the geometric structure with gauge field characteristics.

Abstract

The multidimensional gravity on principal bundle with structural SU(2) gauge group is considered. The Lorentzian wormhole solution disposed between two null surfaces is founded in this case. As the nondiagonal components are similar to a gauge fields (in Kaluza - Klein's sense) then in some sense this solution is dual to the black hole in 4D Einstein - Yang - MIlls gravity: 4D black hole has the stationary area outside of event horizon but multidimensional wormhole inside null surface (on which $ds^2=0$).