Evolutions of Magnetized and Rotating Neutron Stars
Steven L. Liebling, Luis Lehner, David Neilsen, Carlos Palenzuela

TL;DR
This paper investigates the evolution, stability, and critical behavior of magnetized, rotating neutron stars using fully general relativistic magnetohydrodynamics in three dimensions, providing insights into their dynamics and testing advanced simulation methods.
Contribution
It introduces a comprehensive 3D general relativistic MHD framework to study magnetized, rotating neutron stars and explores their stability and critical phenomena.
Findings
Neutron stars exhibit complex stability properties.
The simulation framework effectively models magnetized, rotating stars.
Critical behavior in neutron star evolution is identified.
Abstract
We study the evolution of magnetized and rigidly rotating neutron stars within a fully general relativistic implementation of ideal magnetohydrodynamics with no assumed symmetries in three spatial dimensions. The stars are modeled as rotating, magnetized polytropic stars and we examine diverse scenarios to study their dynamics and stability properties. In particular we concentrate on the stability of the stars and possible critical behavior. In addition to their intrinsic physical significance, we use these evolutions as further tests of our implementation which incorporates new developments to handle magnetized systems.
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