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

TL;DR

This paper proposes a novel method using the integrated Sachs-Wolfe effect caused by individual cosmic structures to determine key cosmological parameters, linking CMB temperature variations to the properties of galaxy clusters and voids across redshifts.

Contribution

It introduces an ISW-redshift test that utilizes the relation between CMB temperature perturbations and the Fermat potential of lenses to constrain cosmological parameters and dark matter dynamics.

Findings

Method can constrain H_0, Ω_m, Ω_Λ using ISW measurements.

Relates ISW temperature variations to lens properties and cosmology.

Potential to study dark matter accretion and evolution of cosmic structures.

Abstract

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