On the Possibility of Development of the Explosion Instability in a Two-Component Gravitating System

TL;DR

This paper explores the theoretical possibility of explosion instability in a multicomponent gravitating system, demonstrating how resonance wave interactions can lead to explosive growth of density waves.

Contribution

It derives an energy expression for density waves in gravitating media and shows how resonance interactions can cause explosion instability, a novel concept in gravitational systems.

Findings

Resonance wave interactions can lead to explosion instability.

The energy of density waves is analogous to electrodynamics.

Characteristic time of instability is estimated.

Abstract

We obtain an expression for the energy of the density wave propagating in a multicomponent gravitating medium in the form well known from electrodynamics. Using the above, the possibility of "triple production" of the quasi-particles, or waves, with their energies summing up to zero, in a non-equilibrium medium is demonstrated. That kind of resonance wave interaction is shown to result in the development of an explosion instability. By the method developed in plasma physics, the characteristic time of the instability is evaluated.