Complexity and neutron stars structure

TL;DR

This paper applies a statistical complexity measure to neutron star structures, revealing that neutron stars are ordered systems with complexity unaffected by increasing mass, influenced by gravity and nuclear forces.

Contribution

It extends the application of complexity measures to neutron stars, analyzing their properties and the impact of gravitational strength on their complexity.

Findings

Neutron stars are low complexity, ordered systems.

Complexity does not increase with neutron star mass.

Gravity and nuclear forces influence neutron star complexity.

Abstract

We apply the statistical measure of complexity introduced by Lopez-Ruiz, Mancini and Calbet to neutron stars structure. Neutron stars is a classical example where the gravitational field and quantum behavior are combined and produce a macroscopic dense object. Actually, we continue the recent application of Sanudo and Pacheco to white dwarfs structure. We concentrate our study on the connection between complexity and neutron star properties, like maximum mass and the corresponding radius, applying a specific set of realistic equation of states. Moreover, the effect of the strength of the gravitational field on the neutron star structure and consequently on the complexity measure is also investigated. It is seen that neutron stars, consistent with astronomical observations so far, are ordered systems (low complexity), which cannot grow in complexity as their mass increases. This is a result of the interplay of gravity, the short-range nuclear force and the very short-range weak interaction.