Towards breaking the Omega-bias degeneracy in density-velocity comparisons
Abstract
I derive a second-order local relation between the REDSHIFT-space mass density field and the REAL-space velocity field. Such a relation avoids problems with the reconstruction of the density field in real space or with the construction of the three-dimensional velocity field in redshift space. Next, I derive a similar relation between the galaxy density field and the velocity field, under an assumption of nonlinear but local bias. Combined with an additional measurement of the skewness of the redshift-space galaxy density field, this relation in principle offers a way to solve for Omega and bias separately in comparisons between the mildly nonlinear cosmic density and peculiar velocity fields.Keywords
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