The role of Topology in the classical geometric theories of gravitation

TL;DR

This paper discusses the significance of topological concepts in classical geometric theories of gravitation, emphasizing their foundational role in understanding gravitational phenomena.

Contribution

It introduces a novel perspective on how topology influences the formulation and interpretation of classical gravitational theories.

Findings

Topological features are crucial in classical gravity models.

Revised theories may better explain gravitational phenomena.

Topology provides new insights into geometric structures of spacetime.

Abstract

I withdraw the previous version of the paper since it contains conceptual and mathematical mistakes. I will soon replace it with a radically revised version.