On the relation between Schwarzschild's and Kerr's manifolds

TL;DR

This paper explores the relationship between Schwarzschild and Kerr manifolds, demonstrating that Kerr's manifold can be viewed as a Schwarzschild manifold in a rotating coordinate system, simplifying its understanding.

Contribution

It shows how Kerr's manifold can be reduced to a Schwarzschild manifold through a suitable coordinate transformation, clarifying their relation.

Findings

Kerr's manifold is equivalent to a Schwarzschild manifold in a rotating frame

The reduction simplifies the understanding of Kerr's spacetime

Main steps of the reduction process are summarized

Abstract

Kerr's manifold is only a Schwarzschild's manifold as seen by a suitably rotating coordinate system. By taking into account this fact, Kerr's manifold can be reduced to a Schwarzschild's manifold. In a final summary we give the main steps of our reasoning.