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Gravitational lensing of cosmic microwave background anisotropies and cosmological parameter estimation

TLDR
In this paper, the authors discuss the detectability of lensing distortions to the temperature, polarisation and temperature-polarisation cross-correlation power spectra and analyse how lensing might affect the estimation of cosmological parameters.
Abstract
Gravitational lensing, caused by matter perturbations along the line-of-sight to the last scattering surface, can modify the shape of the cosmic microwave background (CMB) anisotropy power spectrum. We discuss the detectability of lensing distortions to the temperature, polarisation and temperature-polarisation cross-correlation power spectra and we analyse how lensing might affect the estimation of cosmological parameters. For cold dark matter-like models with present-day matter power spectra normalised to match the abundances of rich clusters of galaxies, gravitational lensing causes detectable distortions to cosmic variance limited CMB experiments sampling high multipoles (l > � 1000). Gravitational lensing of the CMB, although a small effect, allows independent determinations of the curvature of the universe and the cosmological constant, i.e.breaking the so-called geometrical degeneracy in CMB parameter estimation discussed by Bond, Efstathiou & Tegmark (1997) and Zaldarriaga, Spergel & Seljak (1997). Gravitational lensing of the CMB temperature and polarisation patterns should be detectable by the Planck Surveyor satellite leading to useful independent constraints on the cosmological constant and spatial curvature.

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Planck 2013 results. XVI. Cosmological parameters

Peter A. R. Ade, +327 more
TL;DR: In this paper, the authors present the first cosmological results based on Planck measurements of the cosmic microwave background (CMB) temperature and lensing-potential power spectra, which are extremely well described by the standard spatially-flat six-parameter ΛCDM cosmology with a power-law spectrum of adiabatic scalar perturbations.
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Detection of the baryon acoustic peak in the large-scale correlation function of SDSS luminous red galaxies

Daniel J. Eisenstein, +51 more
TL;DR: In this paper, a large-scale correlation function measured from a spectroscopic sample of 46,748 luminous red galaxies from the Sloan Digital Sky Survey is presented, which demonstrates the linear growth of structure by gravitational instability between z ≈ 1000 and the present and confirms a firm prediction of the standard cosmological theory.
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Weak Gravitational Lensing

TL;DR: In this article, the authors present the formalism of weak gravitational lensing and light propagation in arbitrary space-times, and discuss how weak-lensing effects can be measured.
Journal ArticleDOI

Weak gravitational lensing

TL;DR: The theory of weak gravitational lensing is discussed in this paper, and applications to galaxies, galaxy clusters and larger-scale structures in the universe are reviewed and summarised in detail.
References
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Journal ArticleDOI

Cosmological Consequences of a Rolling Homogeneous Scalar Field

TL;DR: It is argued that a number of models in which the energy density of the scalar field red-shifts in a specific manner are studied could reconcile the low dynamical estimates of the mean mass density with the negligibly small spatial curvature preferred by inflation.
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Cosmological imprint of an energy component with general equation of state

TL;DR: In this article, the authors examine the possibility that a significant component of the energy density of the universe has an equation of state different from that of matter, radiation, or cosmological constant.
Journal ArticleDOI

A Line of sight integration approach to cosmic microwave background anisotropies

TL;DR: In this article, the authors present a new method for calculating linear cosmic microwave background (CMB) anisotropy spectra based on integration over sources along the photon past light cone.
Journal ArticleDOI

The advanced theory of statistics

R. A. Fisher
- 01 Oct 1943 - 
TL;DR: The Advanced Theory of Statistics by Maurice G. Kendall as discussed by the authors is a very handsomely produced volume which is one which it will be a pleasure to any mathematical statistician to possess.
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