Real space tomography of the primordial Universe with cluster polarization

Abstract

We describe how a survey of the polarization of the cosmic microwave background induced by Compton scattering in galaxy clusters can be used to make a full spatial reconstruction of the primordial (z~1089) matter distribution inside our surface of last scattering. This "polarization tomography" can yield a spatial map of the initial state of the Universe just as gravitational collapse was beginning to drive structure formation. We present a transparent method and simple formulas from which one can compute the 3D primordial map in real and in Fourier space, given a 3D map of the polarization due to galaxy clusters. The advantage of the real space reconstruction is that it is free from the statistical uncertainties which are inherent in the Fourier space reconstruction. We discuss how noise, partial sky covering and depth of the survey can affect the results.

5 pages, RevTex, 2 figures

References in corpus (7)

• The Uncorrelated Universe: Statistical Anisotropy and the Vanishing Angular Correlation Function in WMAP Years 1-3
• CMB multipole measurements in the presence of foregrounds
• On the CMB large-scales angular correlations
• Alignment tests for low CMB multipoles
• Probing the Universe on Gigaparsec Scales with Remote Cosmic Microwave Background Quadrupole Measurements
• CMB Polarization due to Scattering in Clusters
• The Cosmic Foreground Explorer (COFE): A balloon-borne microwave polarimeter to characterize polarized foregrounds

Cited by in corpus (7)

• CMB Temperature Anisotropy from Broken Spatial Isotropy due to an Homogeneous Cosmological Magnetic Field
• Analyzing the cosmic variance limit of remote dipole measurements of the cosmic microwave background using the large-scale kinetic Sunyaev Zel'dovich effect
• Angular-planar CMB power spectrum
• Dark Energy Cosmology with the Alternative Cosmic Microwave Background Data
• Novel Cosmological Tests from Combining Galaxy Lensing and the Polarized Sunyaev-Zel'dovich Effect
• Measuring the cosmological density field twice: A novel test of dark energy using the CMB quadrupole
• Validating dark energy models using polarised Sunyaev-Zel'dovich effect with large-angle CMB temperature and E-mode polarization anisotropies