Non-Gaussianity detections in the Bianchi VIIh corrected WMAP 1-year data made with directional spherical wavelets
arXiv:astro-ph/0510349 · doi:10.1111/j.1365-2966.2006.10434.x
Abstract
Many of the current anomalies reported in the Wilkinson Microwave Anisotropy Probe (WMAP) 1-year data disappear after `correcting' for the best-fit embedded Bianchi type VII_h component (Jaffe et al. 2005), albeit assuming no dark energy component. We investigate the effect of this Bianchi correction on the detections of non-Gaussianity in the WMAP data that we previously made using directional spherical wavelets (McEwen et al. 2005a). As previously discovered by Jaffe et al. (2005), the deviations from Gaussianity in the kurtosis of spherical Mexican hat wavelet coefficients are eliminated once the data is corrected for the Bianchi component. This is due to the reduction of the cold spot at Galactic coordinates (l,b)=(209^\circ,-57\circ), which Cruz et al. (2005) claim to be the source of non-Gaussianity introduced in the kurtosis. Our previous detections of non-Gaussianity observed in the skewness of spherical wavelet coefficients are not reduced by the Bianchi correction. Indeed, the most significant detection of non-Gaussianity made with the spherical real Morlet wavelet at a significant level of 98.4% remains (using a very conservative method to estimate the significance). We make our code to simulate Bianchi induced temperature fluctuations publicly available.
arXiv comment11 pages, 8 figures, replaced to match version accepted by MNRAS
References in corpus (32)
- HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
- The significance of the largest scale CMB fluctuations in WMAP
- Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets
- The axis of evil
- Is the low-l microwave background cosmic?
- Multipole Vectors--a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2<=l<=8
- Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?
- On the large-angle anomalies of the microwave sky
- Testing for Non-Gaussianity in the Wilkinson Microwave Anisotropy Probe Data: Minkowski Functionals and the Length of the Skeleton
- Asymmetries in the local curvature of the WMAP data
- Non-Gaussianity of the derived maps from the first-year WMAP data
- A high-significance detection of non-Gaussianity in the WMAP 1-year data using directional spherical wavelets
- Is the Universe odd?
- The Hot and Cold Spots in the WMAP Data are Not Hot and Cold Enough
- Higher Criticism Statistic: Detecting and Identifying Non-Gaussianity in the WMAP First Year Data
- Wavelets and WMAP non-Gaussianity
- Correspondence principle between spherical and Euclidean wavelets
- Phase Correlations in Cosmic Microwave Background Temperature Maps
- Multipole vector anomalies in the first-year WMAP data: a cut-sky analysis
- Assessing the effects of foregrounds and sky removal in WMAP
- The N-point correlation functions of the first-year Wilkinson Microwave Anisotropy Probe sky maps
- Limits to Global Rotation and Shear From the COBE DMR 4-Year Sky Maps
- The Multipole Vectors of WMAP, and their frames and invariants
- Template fitting and the large-angle CMB anomalies
- 3-point temperature anisotropies in WMAP: Limits on CMB non-Gaussianities and non-linearities
- Primordial non-Gaussianity: local curvature method and statistical significance of constraints on f_NL from WMAP data
- Genus Topology of the Cosmic Microwave Background from WMAP
- Non-Gaussianity in the WMAP data using the peak-peak correlation function
- Non-Random Phases in Non-Trivial Topologies
- On the bispectrum of COBE and WMAP
- Multipole invariants and non-Gaussianity
Cited by in corpus (32)
- Cosmology and Fundamental Physics with the Euclid Satellite
- Cosmology and fundamental physics with the Euclid satellite
- Planck 2013 results. XXIII. Isotropy and statistics of the CMB
- Limits on non-Gaussianities from WMAP data
- A full sky, low foreground, high resolution CMB map from WMAP
- The non-Gaussian Cold Spot in the 3-year WMAP data
- Planck 2013 results. XXVI. Background geometry and topology of the Universe
- Planck 2015 results. XVIII. Background geometry & topology
- A high-significance detection of non-Gaussianity in the WMAP 5-year data using directional spherical wavelets
- Fast directional continuous spherical wavelet transform algorithms
- Cosmological applications of a wavelet analysis on the sphere
- Classical and Quantum Features of the Mixmaster Singularity
- A high-significance detection of non-Gaussianity in the WMAP 3-year data using directional spherical wavelets
- Markov chain Monte Carlo analysis of Bianchi VII_h models
- Localisation of directional scale-discretised wavelets on the sphere
- Possible extensions of the standard cosmological model: anisotropy, rotation, and magnetic field
- Subsampling needlet coefficients on the sphere
- Cosmic Parallax as a probe of late time anisotropic expansion
- Unveiling Hidden Patterns in CMB Anisotropy Maps
- Second-Generation Curvelets on the Sphere
- Bayesian analysis of anisotropic cosmologies: Bianchi VII_h and WMAP
- Directional spin wavelets on the sphere
- Steerable wavelet analysis of CMB structures alignment
- A framework for testing isotropy with the cosmic microwave background
- Statistical Characterization of Temperature Patterns in Anisotropic Cosmologies
- Bianchi VII_h models and the cold spot texture
- Real space tests of the statistical isotropy and Gaussianity of the WMAP CMB data
- Using spherical wavelets to search for magnetically-induced alignment in the arrival directions of ultra-high energy cosmic rays
- Correlating Fourier phase information with real-space higher order statistics
- Investigating non-Gaussianity in Cosmic Microwave Background Temperature Maps using Spherical Harmonic Phases
- CMB line-of-sight integrators for nearly-isotropic cosmological models
- Scale-discretised ridgelet transform on the sphere