Singular shells of quark-gluon matter

TL;DR

This paper investigates the stability and dynamics of spherically symmetric thin shells of quark-gluon matter using the bag model and general relativity, deriving equations of motion and equilibrium conditions.

Contribution

It introduces an equation of state for two-dimensional quark-gluon matter and provides exact equations of motion for stable shell configurations.

Findings

Derived conditions for stable equilibrium shells.

Identified parameters for decay and deconfinement.

Distinguished between circumstellar and microscopical shells.

Abstract

The spherically symmetric thin shells of the macroscopically stable quark-gluon matter are considered within the frameworks of the bag model and theory of discontinuities in general relativity. The equation of state for the two-dimensional matter is suggested, and its features are discussed. The exact equations of motion of such shells are obtained. Distinguishing the two cases, circumstellar and microscopical shells, we calculate the parameters of equilibrium configurations, including the conditions of decay (deconfinement).