Aspects of $(4+4)$-Kaluza-Klein type theory

TL;DR

This paper develops a $(4+4)$-dimensional Kaluza-Klein formalism, deriving new mirror black and white hole solutions and exploring linearized gravity using octonions, suggesting extensions of spacetime signatures.

Contribution

It introduces a novel $(4+4)$-dimensional Kaluza-Klein framework and finds new mirror black/white hole solutions, extending spacetime concepts and applying octonions to linearized gravity.

Findings

New $(4+4)$-dimensional Schwarzschild solutions

Mirror black and white holes in $(3+1)$-dimensions

Application of octonions to linearized gravity

Abstract

We develop a type of Kaluza-Klein formalism in $(4+4)$-dimensions. In the framework of this formalism we obtain a new kind of Schwarzschild metric solutions that via Kruskal-Szequeres can be interpreted as mirror black and white holes. We found that this new type of mirror black and white holes solutions in $(3+1)$-dimensions support the idea that the original space-time can be extended to $(4+4)$-signature. Using octonions, we also discus linearized gravity in $(4+4)$-dimensions.