Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-02-28
Mon.Not.Roy.Astron.Soc. 327 (2001) 517
Astronomy and Astrophysics
Astrophysics
24 pages, 9 ps figures
Scientific paper
10.1046/j.1365-8711.2001.04731.x
We investigate the properties of cosmological distances in locally inhomogeneous universes with pressureless matter and dark energy (quintessence), with constant equation of state. We give exact solutions for angular diameter distances in theempty beam approximation. In this hypothesis, the distance-redshift equation is derived fron the multiple lens-plane theory. The case of a flat universe is considered with particular attention. We show how this general scheme makes distances degenerate with respect to w_X and the smoothness parameters, alpha, accounting for the homogeneously distributed fraction of energy of the i-components. We analyse how this degeneracy influences the critical redshift where the angular diameter distance takes its maximum, and put in evidence future prospects for measuring the smoothness parameter of the pressureless matter, alpha_M.
Covone Giovanni
de Ritis Ruggiero
Piedipalumbo Ester
Sereno Mauro
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