Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-03-22
JCAP0804:008,2008
Astronomy and Astrophysics
Astrophysics
27 pages, 9 figures, revised version to appear in JCAP, analytical estimate included, typos corrected
Scientific paper
10.1088/1475-7516/2008/04/008
We consider the effect on the propagation of light of inhomogeneities with sizes of order 10 Mpc or larger. The Universe is approximated through a variation of the Swiss-cheese model. The spherical inhomogeneities are void-like, with central underdensities surrounded by compensating overdense shells. We study the propagation of light in this background, assuming that the source and the observer occupy random positions, so that each beam travels through several inhomogeneities at random angles. The distribution of luminosity distances for sources with the same redshift is asymmetric, with a peak at a value larger than the average one. The width of the distribution and the location of the maximum increase with increasing redshift and length scale of the inhomogeneities. We compute the induced dispersion and bias on cosmological parameters derived from the supernova data. They are too small to explain the perceived acceleration without dark energy, even when the length scale of the inhomogeneities is comparable to the horizon distance. Moreover, the dispersion and bias induced by gravitational lensing at the scales of galaxies or clusters of galaxies are larger by at least an order of magnitude.
Brouzakis Nikolaos
Tetradis Nikolaos
Tzavara Eleftheria
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