Gravitational Self-Energy and Black Holes in Newtonian Physics

TL;DR

This paper explores the concept of Newtonian black holes incorporating relativistic mass-energy equivalence, but demonstrates through a shell model that gravitational self-energy prevents their formation in Newtonian physics.

Contribution

It introduces a Newtonian black hole concept with relativistic effects and shows self-energy prevents their formation using a shell model.

Findings

Relativistic mass-energy equivalence can be integrated into Newtonian black hole models.

Gravitational self-energy leads to mass renormalization that inhibits black hole formation.

Shell model analysis confirms the non-existence of Newtonian black holes due to self-energy effects.

Abstract

A definition of a Newtonian black hole is possible which incorporates the mass-energy equivalence from special relativity. However, exploiting a double spherical shell model, it will be shown that the ensuing gravitational self-energy and mass renormalization prevent the formation of such an object.