Cosmic Microwave Background Anisotropy from Nonlinear Structures in Accelerating Universes

Abstract

We study the cosmic microwave background (CMB) anisotropy due to spherically symmetric nonlinear structures in flat universes with dust and a cosmological constant. By modeling a time-evolving spherical compensated void/lump by Lemaitre-Tolman-Bondi spacetimes, we numerically solve the null geodesic equations with the Einstein equations. We find that a nonlinear void redshifts the CMB photons that pass through it regardless of the distance to it. In contrast, a nonlinear lump blueshifts (or redshifts) the CMB photons if it is located near (or sufficiently far from) us. The present analysis comprehensively covers previous works based on a thin-shell approximation and a linear/second order perturbation method and the effects of shell thickness and full nonlinearity. Our results indicate that, if quasi-linear and large ($>100$Mpc) voids/lumps would exist, they could be observed as cold or hot spots with temperature variance $>10^{-5}$K in the CMB sky.

7 pages, 4 figures, discussions on linear ISW effects added

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Cited by in corpus (19)

• Needlet Detection of Features in WMAP CMB Sky and the Impact on Anisotropies and Hemispherical Asymmetries
• Can a supervoid explain the Cold Spot?
• A Map of the Integrated Sachs-Wolfe Signal from Luminous Red Galaxies
• Galaxy Counts on the CMB Cold Spot
• Cosmological Density Fluctuations on 100Mpc Scales and their ISW Effect
• Regular spherical dust spacetimes
• Evidence of Quasi-linear Super-Structures in the Cosmic Microwave Background and Galaxy Distribution
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• CMB seen through random Swiss Cheese
• Probing violation of the Copernican principle via the integrated Sachs-Wolfe effect
• On the origin of the Cold Spot
• Dynamical evolutin of quintessence dark energy in collapsing dark matter halos
• Rees--Sciama Effect and Impact of Foreground Structures on Galaxy Redshifts
• The Embedded Transparent Lens and Fermat's Least-Time Principle
• Modelling the WMAP large-angle anomalies as an effect of a local density inhomogeneity
• Probing supervoids with weak lensing
• An integrated Sachs-Wolfe effect vs redshift test for the cosmological parameters
• Reconstruction of Missing Data using Iterative Harmonic Expansion
• Temperature Anisotropy of the CMBR and the Non-zero Cosmological Constant