The Effect of Accumulation of Excess Energy of a Body in Gravitational Compression

TL;DR

This paper demonstrates that gravitational compression of a spherical body leads to infinite energy growth near a critical radius, causing instability, mass defect, and potential explosion, supported by General Relativity in harmonic coordinates.

Contribution

It provides a rigorous proof within General Relativity that gravitational compression causes infinite energy growth and instability near a critical radius.

Findings

Energy of a compressed body diverges near critical radius

Negative mass defect arises from gravitational compression

Instability may lead to expansion or explosion

Abstract

It is shown that a gravitational compression of a spherical body results in an infinite growth of the energy of a body as its radius comes close to $GM/c^2$. This gives rise to a negative defect of mass and, due to an instability, to an expansion or to an explosion. A rigorous proof of the above statement can be obtained within the General Relativity in the harmonic coordinates.