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

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.

arXiv comment12 pages

References in corpus (4)

• On Accelerated Inertial Frames in Gravity and Electromagnetism
• Instantaneous Inertial Frame but Retarded Electromagnetism in Rotating Relativistic Collapse
• Slowly rotating voids in cosmology
• Toroidal Perturbations of Friedmann-Robertson-Walker Universes

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• Mach's principle: Exact frame-dragging via gravitomagnetism in perturbed Friedmann-Robertson-Walker universes with $K=(\pm 1,0)$
• Gravitational waves and dragging effects
• Effects of rotating gravitational waves
• Perturbative and Numerical Analysis of Tilted Cosmological Models of Bianchi type V
• Solar system constraints on planetary Coriolis-type effects induced by rotation of distant masses
• Non-integrability of density perturbations in the FRW universe