Frame Dragging Effect on Moment of Inertia and Radius of Gyration of Neutron Star

TL;DR

This paper calculates how the frame dragging effect in general relativity influences the moments of inertia and radii of gyration of neutron stars, showing a diminishing effect on these properties.

Contribution

It provides the first-order relativistic calculations of frame dragging effects on neutron star moments of inertia and radii of gyration using a $\sigma-\omega$ model.

Findings

Frame dragging reduces moments of inertia.

Frame dragging decreases radii of gyration.

Calculations are accurate to first order in angular velocity.

Abstract

Accurate to the first order in the uniform angular velocity, the general relativity frame dragging effect of the moments of inertia and radii of gyration of two kinds of neutron stars are calculated in a relativistic $\sigma-\omega$ model. The calculation shows that the dragging effect will diminish the moments of inertia and radii of gyration.