2001/02/28 by M. Sereno, G. Covone, E. Piedipalumbo +1 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Stellar, planetary, and galactic studies #astro-ph
paper · pdf · doi:10.1046/j.1365-8711.2001.04731.x
published as Mon.Not.Roy.Astron.Soc. 327 (2001) 517 · 24 pages, 9 ps figures
arxiv created 2001/02/28 · openalex publication_date 2001/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 the empty beam approximation. In this hypothesis, the distance–redshift equation is derived from 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 wX and the smoothness parameters αi, 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 discuss future prospects for measuring the smoothness parameter of the pressureless matter, αM.