Bounds on the dragging rate and on the rotational mass-energy in slowly and differentially rotating relativistic stars

TL;DR

This paper derives properties related to the rotational dragging rate and angular momentum density in slowly and differentially rotating relativistic stars, providing new bounds on their rotational mass-energy.

Contribution

It offers new theoretical bounds on the rotational mass-energy and properties of rotational dragging in relativistic stars with slow, differential rotation.

Findings

Positivity conditions for rotational dragging rate and angular momentum density.

New proof of bounds on rotational mass-energy.

Insights into the rotational dynamics of relativistic stars.

Abstract

For relativistic stars rotating slowly and differentially with a positive angular velocity, some properties in relation to the positiveness of the rate of rotational dragging and of the angular momentum density are derived. Also, a new proof for the bounds on the rotational mass-energy is given.