Timothy Clifton, Pedro G. Ferreira, Kane O'Donnell
We consider the optical properties of Lindquist-Wheeler (LW) models of the
Universe. These models consist of lattices constructed from regularly arranged
discrete masses. They are akin to the Wigner-Seitz construction of solid state
physics, and result in a dynamical description of the large-scale Universe in
which the global expansion is given by a Friedmann-like equation. We show that
if these models are constructed in a particular way then the redshifts of
distant objects, as well as the dynamics of the global space-time, can be made
to be in good agreement with the homogeneous and isotropic
Friedmann-Lemaitre-Robertson-Walker (FLRW) solutions of Einstein's equations,
at the level of <3% out to z~2. Angular diameter and luminosity distances, on
the other hand, differ from those found in the corresponding FLRW models, while
being consistent with the 'empty beam' approximation, together with the
shearing effects due to the nearest masses. This can be compared with the large
deviations found from the corresponding FLRW values obtained in a previous
study that considered LW models constructed in a different way. We therefore
advocate the improved LW models we consider here as useful constructions that
appear to faithfully reproduce both the dynamical and observational properties
of space-times containing discrete masses.
View original:
http://arxiv.org/abs/1110.3191
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