Max Tegmark's cosmology library: zspace
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REAL-SPACE COSMIC FIELDS FROM REDSHIFT-SPACE DISTRIBUTIONS:
A GREEN FUNCTION APPROACH
Authors: Max Tegmark & Ben Bromley
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 function; the Green 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 function kernel.
Our algorithm has a single input parameter,
beta=Omega^0.6/b, where b is the linear
bias factor and Omega is the cosmological density parameter.
We discuss the virtues of this method for error control, for
estimating beta, and for constraining the bias mechanism.
This site also contains the latest versions of a paper that is
referenced in the text;
Tegmark, Bunn & Hu 1994.
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This page was last modified July 1, 1998.