1994/09/30 by Max Tegmark, Benjamin Bromley, B. C. Bromley · 11 citations
Physics and Astronomy · #COSMIC cancer database #Cosmology #Cosmology and Gravitation Theories #Function (biology) #Galaxies: Formation, Evolution, Phenomena #Gravitation #Gravitational field #Gravitational redshift #Peculiar velocity #Radio Astronomy Observations and Technology #Redshift #Redshift-space distortions #Space (punctuation) #astro-ph
paper · pdf · doi:10.1086/176415
published in The Astrophysical Journal 453, 533 (IOP Publishing) · 22 pages, incl 3 figures. Stone-age postscript replaced by LATeX. Latest version at http://www.sns.ias.edu/~max/zspace.html (faster from the US), from http://www.mpa-garching.mpg.de/~max/zspace.html (faster from Europe) or from [email protected]
openalex publication_date 1995/11/01 · arxiv created 1996/09/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a new method for reconstructing the cosmological density, peculiar velocity, and peculiar gravitational potential on large scales from redshift data. We remove the distorting effects of line-of-sight peculiar motions by using the linear theory of gravitational instability, in which the potential is the solution to a linear partial differential equation first derived by Kaiser. We solve this equation by deriving its Green's function; the Green's functions for the peculiar velocity and the real-space density follow directly. Reconstruction of the cosmic fields is thus reduced to integration over redshift space with the appropriate Green's function kernel. Our algorithm has a single input parameter, β ≡ = Ω<SUP>0.6</SUP>/b, where b is the linear bias factor and Ω is the cosmological density parameter. We discuss the virtues of this method for error control, for estimating β, and for constraining the bias mechanism.