An integrated Sachs-Wolfe effect vs redshift test for the cosmological parameters

摘要

We describe a method using the integrated Sachs-Wolfe (ISW) effect caused byindividual inhomogeneities to determine the cosmological parameters, $H_0$,$\Omega_{\rm m}$, and $\Omega_\Lambda$, etc. This ISW-redshift test requiresdetailed knowledge of the internal kinematics of a set of individual densityperturbations, e.g., galaxy clusters and/or cosmic voids, in particular theirdensity and velocity profiles, and their mass accretion rates. It assumes thedensity perturbations are isolated and imbedded (equivalently compensated) andmakes use of the newly found relation between the ISW temperature perturbationof the CMB and the Fermat potential of the lens. Given measurements of theamplitudes of the temperature variations in the CMB caused by such clusters orvoids at various redshifts and estimates of their angular sizes or masses, onecan constrain the cosmological parameters. More realistically, the converse ismore likely, i.e., if the background cosmology is sufficiently constrained,measurement of ISW profiles of clusters and voids (e.g., hot and cold spots andrings) can constrain dynamical properties of the dark matter, includingaccretion, associated with such lenses and thus constrain the evolution ofthese objects with redshift.