A three-layer preon star model from exact piecewise-continuous solutions of Einstein's equations

TL;DR

This paper presents an exact, piecewise-continuous solution to Einstein's equations modeling a three-layer preon star with distinct core, mantle, and envelope, matching interior solutions to an exterior Reissner-Nordstrom vacuum.

Contribution

It introduces a novel three-layer preon star model using algebraic solutions with polynomial functions, providing a detailed physical parameter estimation for each layer.

Findings

Model describes a stable three-layer preon star structure.

Provides explicit boundary conditions and parameter estimates.

Matches interior solutions to an exterior Reissner-Nordstrom vacuum.

Abstract

The Einstein equations are solved algebraically to model a hybrid astrophysical compact object consisting of a preon gas core, a mantle of electrically charged hot quark-gluon plasma, and an outer envelope of charged hadronic matter which is matched to an exterior Reissner-Nordstrom vacuum. The piecewise-continuous metric and the pressure and density functions consist of polynomials that are everywhere well-behaved. Boundary conditions at each interface yield estimates for physical parameters applicable to each layer, and to the star as a whole.