Generalized Laplace Method for Simple Determination of Kerr-Newman Black Hole Horizon Radius

TL;DR

This paper introduces a generalized Laplace method to determine the horizon radii of Kerr-Newman black holes using a classical, quasi-classical approach involving a thin shell model and relativistic principles.

Contribution

It presents a new, simplified method for calculating black hole horizons based on classical gravitational and electromagnetic interactions.

Findings

Derivation of horizon radii using the generalized Laplace method.

Application of relativistic equivalence principle in the model.

Simplification of horizon determination process.

Abstract

In this work we present a generalized Laplace method for a formal, simple, quasi-classical, determination of the outer and inner horizon radius of Kerr-Newman black hole. We consider classical gravitational interaction between a thin, with homogeneously distributed mass and electric charge, spherical (black) shell and a probe particle. Also, we use relativistic equivalence principle. Finally we suppose that probe particle propagates radially to shell with speed of light while tangentially it rotates in common with shell, so that total energy of a probe particle equals zero.