Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
In this yet another contribution to the still continuing Machian discussion we first summarize the history and meaning of Mach's principle. Then a simple model allowing to discuss 'Machian' features in a cosmological context is treated : we consider a spacetime consisting of an empty void separated from an almost Friedmann-Lemaitre-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.
@unpublished{UTF27,
author = {Doležel, Tomáš},
title = {{Slowly rotating voids in cosmology and Mach’s principle}},
editor = {Semerák,O; Podolský, J; Žofka, M},
publisher = {World Scientific, Singapore},
pages = {1},
year = {2002},
}