Existence of Rotating Magnetic Stars

TL;DR

This paper proves the existence of steadily rotating magnetic stars modeled as compressible fluids under gravity and magnetic forces, establishing foundational results for such astrophysical objects.

Contribution

It demonstrates the first rigorous proof of the existence of rotating magnetic stars with small rotation speed and magnetic field.

Findings

Existence of rotating magnetic star solutions established

Solutions valid for small rotation speeds and magnetic fields

Provides mathematical foundation for astrophysical models of magnetic stars

Abstract

We consider a star as a compressible fluid subject to gravitational and magnetic forces. This leads to an Euler-Poisson system coupled to a magnetic field, which may be regarded as an MHD model together with gravity. The star executes steadily rotating motion about a fixed axis. We prove, for the first time, the existence of such stars provided that the rotation speed and the magnetic field are sufficiently small.