Do Rotations Beyond the Cosmological Horizon Affect the Local Inertial Frame?

TL;DR

This paper investigates how perturbations beyond the cosmological horizon influence local inertial frames, revealing that angular momentum prescriptions lead to no exponential suppression of frame dragging, with explicit results across various universe models.

Contribution

It resolves a paradox about horizon perturbations and provides new explicit calculations of inertial frame dragging in different cosmological geometries.

Findings

Perturbations with prescribed velocities are exponentially suppressed.

Angular momentum prescriptions do not suppress inertial frame dragging.

Explicit results are provided for closed, flat, and open universes with/without cosmological constant.

Abstract

If perturbations beyond the horizon have the velocities prescribed everywhere then the dragging of inertial frames near the origin is suppressed by an exponential factor. However if perturbations are prescribed in terms of their angular momenta there is no such suppression. We resolve this paradox and in doing so give new explicit results on the dragging of inertial frames in closed, flat and open universe with and without a cosmological constant.