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

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 solution that, via Kruskal–Szequeres, can be interpreted as mirror black and white holes. We found that this new type of mirror black and white hole solution in (3 + 1)-dimensions supports the idea that original spacetime can be extended to a (4 + 4)-signature. Using octonions, we also discuss linearized gravity in (4 + 4)-dimensions.