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Redshift-space density versus real-space velocity comparison

1999/08/27 by M. J. Chodorowski, Michal Chodorowski, Chodorowski, Michal
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Astrophysics #Astrophysics (astro-ph) #Computer science #Conservative vector field #Cosmology and Gravitation Theories #Degeneracy (biology) #FOS: Physical sciences #Field (mathematics) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Mathematics #Mechanics #Meteorological Phenomena and Simulations #Nonlinear system #Physics #Quantum mechanics #Redshift #Redshift survey #Redshift-space distortions #Space (punctuation) #Vector field #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/9908299

4 pages, no figures, uses paspconf.sty; to appear in the proceedings of the Cosmic Flows Workshop, Victoria, Canada, July 1999, ed. S. Courteau, M. Strauss & J. Willick, ASP series. For a more detailed discussion of this problem, see astro-ph/9908246

arxiv created 1999/08/27 · openalex publication_date 1999/08/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

I propose to compare the redshift-space density field directly to the REAL-SPACE velocity field. Such a comparison possesses all of the advantages of the conventional redshift-space analyses, while at the same time it is free of their disadvantages. In particular, the model-dependent reconstruction of the density field in real space is unnecessary, and so is the reconstruction of the velocity field in redshift space. The redshift-space velocity field can be reconstructed only at the linear order, because only at this order it is irrotational. Unlike the conventional redshift-space density--velocity comparisons, the comparison proposed here does not have to be restricted to the linear regime. Nonlinear effects can then be used to break the Omega-bias degeneracy plaguing the analyses based on the linear theory. I present a degeneracy-breaking method for the case of nonlinear but local bias.

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