Slowly rotating voids in cosmology

Abstract

We consider a spacetime consisting of an empty void separated from an almost Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) dust universe by a spherically symmetric, slowly rotating shell which is comoving with the cosmic dust. We treat in a unified manner all types of the FLRW universes. The metric is expressed in terms of a constant characterizing the angular momentum of the shell, and parametrized by the comoving radius of the shell. Treating the rotation as a first order perturbation, we compute the dragging of inertial frames as well as the apparent motion of distant stars within the void. Finally, we discuss, in terms of in principle measurable quantities, 'Machian' features of the model.

21 pages, 5 figures, REVTex, accepted for publication in Class.Quant.Gravity

Cited by in corpus (8)

• Cosmological gravitomagnetism and Mach's principle
• Cosmological perturbation theory, instantaneous gauges and local inertial frames
• Mach's principle: Exact frame-dragging via gravitomagnetism in perturbed Friedmann-Robertson-Walker universes with $K=(\pm 1,0)$
• WKB metastable quantum states of a de Sitter--Reissner-Nordstroem dust shell
• Do Rotations Beyond the Cosmological Horizon Affect the Local Inertial Frame?
• First order perturbations of the Einstein-Straus and Oppenheimer-Snyder models
• Singular shell embedded into a cosmological model
• The Cosmic Causal Mass