Testing the statistical isotropy of large scale structure with multipole vectors
Abstract
A fundamental assumption in cosmology is that of statistical isotropy—that the Universe, on average, looks the same in every direction in the sky. Statistical isotropy has recently been tested stringently using cosmic microwave background data, leading to intriguing results on large angular scales. Here we apply some of the same techniques used in the cosmic microwave background to the distribution of galaxies on the sky. Using the multipole vector approach, where each multipole in the harmonic decomposition of galaxy density field is described by unit vectors and an amplitude, we lay out the basic formalism of how to reconstruct the multipole vectors and their statistics out of galaxy survey catalogs. We apply the algorithm to synthetic galaxy maps, and study the sensitivity of the multipole vector reconstruction accuracy to the density, depth, sky coverage, and pixelization of galaxy catalog maps.
 Publication:

Physical Review D
 Pub Date:
 August 2011
 DOI:
 10.1103/PhysRevD.84.043005
 arXiv:
 arXiv:1009.4701
 Bibcode:
 2011PhRvD..84d3005Z
 Keywords:

 98.70.Vc;
 Background radiations;
 Astrophysics  Cosmology and Extragalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 19 pages, 9 figures, typos fixed and minor changes in v2. Matches the published version