Kaluza-Klein gravity in the context of modern embedding theories of spacetime

TL;DR

This paper reviews Kaluza-Klein gravity within modern embedding theories, highlighting differences in their geometric structures despite apparent similarities, and discusses their implications for spacetime models.

Contribution

It clarifies the distinctions between Kaluza-Klein theory and modern embedding approaches like induced matter, emphasizing their unique geometric frameworks.

Findings

Kaluza-Klein and embedding theories have distinct geometric structures.

Modern embedding theories are not just extensions but fundamentally different from Kaluza-Klein.

The review clarifies conceptual differences in spacetime modeling approaches.

Abstract

We review and discuss the original Kaluza-Klein theory in the framework of modern embedding theories of the spacetime, such as the recent induced matter approach. We show that in spite of their seeming similarity they constitute rather distinct proposals as far as their geometrical structure is concerned.