Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy

Abstract

We cross-correlate the new 3 year Wilkinson Microwave Anistropy Probe (WMAP) cosmic microwave background (CMB) data with the NRAO VLA Sky Survey (NVSS) radio galaxy data, and find further evidence of late integrated Sachs-Wolfe (ISW) effect taking place at late times in cosmic history. Our detection makes use of a novel statistical method \cite{Baldi et al. 2006a, Baldi et al. 2006b} based on a new construction of spherical wavelets, called needlets. The null hypothesis (no ISW) is excluded at more than 99.7% confidence. When we compare the measured cross-correlation with the theoretical predictions of standard, flat cosmological models with a generalized dark energy component parameterized by its density, $\text{omde}$, equation of state $w$ and speed of sound $\text{cs}2$, we find $0.3\le \text{omde}\le 0.8$ at 95% c.l., independently of $\text{cs}2$ and $w$. If dark energy is assumed to be a cosmological constant ($w=-1$), the bound on density shrinks to $0.41\le \text{omde}\le 0.79$. Models without dark energy are excluded at more than $4\sigma$. The bounds on $w$ depend rather strongly on the assumed value of $\text{cs}2$. We find that models with more negative equation of state (such as phantom models) are a worse fit to the data in the case $\text{cs}2=1$ than in the case $\text{cs}2=0$.

Comments: 8 pages, 7 figures. Matches version published on Physical Review D