A novel derivation of the rotating black hole metric

TL;DR

This paper presents a new derivation of the rotating black hole metric using ellipsoidal symmetry and principles linking Newtonian acceleration to relativistic spacetime geometry.

Contribution

It introduces a novel derivation method for the rotating black hole metric based on geometric symmetry and physical principles.

Findings

Derivation of the rotating black hole metric from ellipsoidal symmetry.

Establishment of a connection between Newtonian acceleration and spacetime geometry.

New insights into the geometric structure of rotating black holes.

Abstract

We derive the rotating black hole metric by appealing to ellipsoidal symmetry of space and a general guiding principle of incorporation of the Newtonian acceleration for massive and no acceleration for massless particles.