Second-order gravitational effects of local inhomogeneities on CMB anisotropies and non-Gaussian signatures

2005/09/30 by Kenji Tomita · 4 citations
Physics and Astronomy · #Anisotropy #Astrophysics #Asymmetry #Cosmic microwave background #Cosmology and Gravitation Theories #Dark matter #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gaussian #Kurtosis #Order (exchange) #Physics #Pulsars and Gravitational Waves Research #Quadrupole #Quantum mechanics #Statistical physics #Statistics #astro-ph

paper · pdf · doi:10.1103/physrevd.72.103506

published as Phys.Rev.D72:103506,2005; Erratum-ibid.D73:029901,2006 · 11 pages, 2 figures

openalex publication_date 2005/11/08 · arxiv created 2006/01/06 · arxiv updated 2014/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Based on the second-order nonlinear theory of perturbations in nonzero \ensuremathΛ flat cosmological models, we study the gravitational effects of local inhomogeneities on cosmic microwave background (CMB) anisotropies. As the local inhomogeneities we consider first large-scale dipole and quadrupole distributions of galaxies around us and next an isolated cluster-scale matter distribution. It is found that, due to the second-order integral Sachs-Wolfe effect, the north-south asymmetry of CMB anisotropies and non-Gaussian signatures (in terms of scale-dependent estimators of kurtosis) in a spotlike object are caused from these matter distributions along light paths. Our theoretical results seem to be consistent with recent various observational results which have been shown by Hansen et al., Eriksen et al., Vielva et al. and Cruz et al.

Citations

• Testing the cosmological principle of isotropy: local power-spectrum estimates of theWMAPdata
• Non-Gaussianity from Inflation: Theory and Observations
• Testing for Non‐Gaussianity in theWilkinson Microwave Anisotropy ProbeData: Minkowski Functionals and the Length of the Skeleton
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Preliminary Maps and Basic Results
• Asymmetries in the Local Curvature of the Wilkinson Microwave Anisotropy Probe Data
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
• Detection of a non-Gaussian spot in WMAP
• The performance of spherical wavelets to detect non-Gaussianity in the cosmic microwave background sky

Cited by

• EVIDENCE OF QUASI-LINEAR SUPER-STRUCTURES IN THE COSMIC MICROWAVE BACKGROUND AND GALAXY DISTRIBUTION
• The Non‐Gaussian Cold Spot in the 3 YearWilkinson Microwave Anisotropy ProbeData
• Second order gravitational effects on CMB temperature anisotropy inΛdominated flat universes
• Probing violation of the Copernican principle via the integrated Sachs-Wolfe effect