Dark Energy Constraints from Need lets Analysis of WMAP3 and NVSS Data

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We cross-correlate the new 3 year Wilkinson Microwave Anistropy Probe (WMAP3) 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 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, ΩDE, equation of state w and speed of sound cs2 , we find 0.3 ≤ ΩDE ≤ 0.8 at 95% c.l., independently of cs2 and w. If dark energy is assumed to be a cosmological constant (w = -1), the bound on density shrinks to 0.41 ≤ ΩDE ≤ 0.79. Models without dark energy are excluded at more than 4σ. The bounds on w depend rather strongly on the assumed value of cs2 .

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