Non spherical sources of strong gravitational fields out of hydrostatic equilibrium

TL;DR

This paper investigates how slight deviations from spherical symmetry in highly gravitational systems can enhance stability and delay collapse, challenging the traditional view of inevitable collapse in such sources.

Contribution

It introduces a model for non-spherical matter distributions in Weyl metrics, showing that asymmetry can stabilize systems under extreme gravity conditions.

Findings

Slight asymmetries can delay collapse in high gravitational fields.

Deviations from spherical symmetry reduce the speed of collapse onset.

Stability is enhanced near critical surface gravitational potentials.

Abstract

We describe the departure from equilibrium of matter distributions representing sources for a class of Weyl metric. It is shown that, for extremely high gravitational fields, slight deviations from spherical symmetry may enhance the stability of the system weakening thereby its tendency to a catastrophic collapse. For critical values of surface gravitational potential, in contrast with the exactly spherically symmetric case, the speed of entering the collapse regime decreases substantially, at least for specific cases.