The Schwarzschild black hole as a point particle

TL;DR

This paper presents a novel interpretation of the Schwarzschild black hole as a point particle within a fixed background spacetime, using stationary coordinates and stability criteria to analyze its properties.

Contribution

It introduces a field-theoretic description of the Schwarzschild black hole as a point-like configuration in Minkowski space, employing non-singular coordinates and stability conditions.

Findings

Schwarzschild solution modeled as a point-like field configuration

Use of stationary, non-singular coordinates at the horizon

Application of stability criteria for configuration testing

Abstract

The description of a point mass in general relativity (GR) is given in the framework of the field formulation of GR where all the dynamical fields, including the gravitational field, are considered in a fixed background spacetime. With the use of stationary (not static) coordinates non-singular at the horizon, the Schwarzschild solution is presented as a point-like field configuration in a whole background Minkowski space. The requirement of a stable $\eta$-causality stated recently in [J.B.Pitts and W.C.Schieve, Found. Phys., v. 34, 211 (2004)] is used essentially as a criterion for testing configurations.