Existence of rotating planet solutions to the Euler-Poisson equations with an inner hard core

TL;DR

This paper extends classical rotating star solutions of the Euler-Poisson equations to include a solid inner core, addressing models relevant for extrasolar planets with rocky cores.

Contribution

It introduces new theoretical extensions of the Euler-Poisson equations to model rotating planets with an inner hard core, advancing understanding of such astrophysical objects.

Findings

Existence of solutions with an inner core established

Extension of classical models to include solid cores

Relevance to extrasolar planet structures

Abstract

The Euler-Poisson equations model rotating gaseous stars. Numerous efforts have been made to establish existence and properties of the rotating star solutions. Recent interests in extrasolar planet structures require extension of the model to include a inner rocky core together with its own gravitational potential. In this paper, we discuss various extensions of the classical rotating star results to incorporate a solid core.