A New Look to Massive Neutron Cores

TL;DR

This paper introduces a novel approach using principal transforms to model massive neutron cores, leading to a significantly higher maximum mass estimate of about 3.8 solar masses compared to traditional limits.

Contribution

It presents a new theoretical framework for modeling neutron cores that revises the maximum mass limit using principal transforms in relativistic fluid configurations.

Findings

Maximum neutron core mass estimated at ~3.8 solar masses

New framework revises traditional mass limits for neutron stars

Provides deeper understanding of density, pressure, and geometry in relativistic models

Abstract

We reconsider the problem of modelling static spherically symmetric perfect fluid configurations with an equation of state from a point of view of that requires the use of the concept of principal transform of a 3-dimensional Riemannian metric. We discuss from this new point of view the meaning of those familiar quantities that we call density, pressure and geometry in a relativistic context. This is not simple semantics. To prove it we apply the new ideas to recalculate the maximum mass that a massive neutron core can have. This limit is found to be of the order of 3.8 $M_\odot$ substantially larger than the Oppenheimer and Volkoff limit.