On the mass of rotating stars in Newtonian gravity and GR

TL;DR

This paper demonstrates that the correction to the mass of rotating stars identified in relativistic models also appears in Newtonian gravity, revealing a hidden correction in Chandrasekhar's classical approach.

Contribution

It uncovers the presence of a correction term in Newtonian models of rotating stars, linking relativistic and Newtonian calculations of stellar mass.

Findings

The correction term appears in the Newtonian limit.

The correction is present but hidden in Chandrasekhar's original Newtonian approach.

The relativistic correction aligns with Newtonian results in the appropriate limit.

Abstract

We show how the correction to the calculation of the mass in the original relativistic model of a rotating star by Hartle [6], found recently [10], appears in the Newtonian limit, and that the correcting term is indeed present, albeit hidden, in the original Newtonian approach by Chandrasekhar [2].