2 research outputs found
Slowly rotating voids in cosmology
We consider a spacetime consisting of an empty void separated from an almost
Friedmann-Lema\^\i tre-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.Comment: 21 pages, 5 figures, REVTex, accepted for publication in
Class.Quant.Gravit
Interpretation of the Siklos solutions as exact gravitational waves in the anti-de Sitter universe
The Siklos class of solutions of Einstein's field equations is investigated
by analytical methods. By studying the behaviour of free particles we reach the
conclusion that the space-times represent exact gravitational waves propagating
in the anti-de Sitter universe. The presence of a negative cosmological
constant implies that the 'background' space is not asymptotically flat and
requires a 'rotating' reference frames in order to fully simplify and view the
behaviour of nearby test particles. The Kaigorodov space-time, which is the
simplest representative of the Siklos class, is analyzed in more detail. It is
argued that it may serve as a 'cosmological' analogue of the well-known
homogeneous pp-waves in the flat universe.Comment: 17 pages, to be published in Class. Quantum Gravit