12,698 research outputs found
Cosmic Crystallography with a Pullback
We present a modified version of the cosmic crystallography method,
especially useful for testing closed models of negative spatial curvature. The
images of clusters of galaxies in simulated catalogs are ``pulled back'' to the
fundamental domain before the set of distances is calculated.Comment: 9 pages, 2 figure
Exploring the global topology of the universe
In this talk work done by our group on cosmic topology is reviewed. It ranges
from early attempts to solve a famous controversy about quasars through the
multiplicity of images, to quantum cosmology in this context and an application
to QED renormalization.Comment: 4 pages. Contribution to the XXII Brazilian National Meeting on
Particles and Fields, Sao Lourenco, October 200
Closed Spaces in Cosmology
This paper deals with two aspects of relativistic cosmologies with closed
(compact and boundless) spatial sections. These spacetimes are based on the
theory of General Relativity, and admit a foliation into space sections S(t),
which are spacelike hypersurfaces satisfying the postulate of the closure of
space: each S(t) is a 3-dimensional, closed Riemannian manifold. The discussed
topics are: (1) A comparison, previously obtained, between Thurston's
geometries and Bianchi-Kantowski-Sachs metrics for such 3-manifolds is here
clarified and developed. (2) Some implications of global inhomogeneity for
locally homogeneous 3-spaces of constant curvature are analyzed from an
observational viewpoint.Comment: 20 pages, 6 figures, revised version of published paper. In version
2: several misprints corrected, 'redshifting' in figures improved. Version 3:
a few style corrections; couple of paragraphs in subsection 2.4 rewritten.
Version 4: figures 5 and 6 corrrecte
On Closed Einstein-de Sitter Universes
We briefly summarize the idea of cosmological models with compact, flat
spatial sections. It has been suggested that, because of the COBE satellite's
maps of the microwave background, such models cannot be small in the sense of
Ellis, and hence are no longer interesting. Here we use Lehoucq et al.'s method
of cosmic crystallography to show that these models are physically meaningful
even if the size of the spatial sections is of the same order of magnitude as
the radius of the observational horizon.Comment: 8 pages, 1 figure. Revision includes comment on "top-down" and
"bottom-up" pictures of structure formation. Figure is unmodifie
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