2003/06/02 by Wayne Hu, Zoltán Haiman, Zoltan Haiman · 5 citations
Physics and Astronomy · #Astrophysics #Cosmic microwave background #Cosmology #Cosmology and Gravitation Theories #Dark energy #Galaxies: Formation, Evolution, Phenomena #Galaxy #Hubble's law #Physics #Population #Quantum mechanics #Radio Astronomy Observations and Technology #Redshift #Redshift survey #Spectral density #Statistics #astro-ph
paper · pdf · doi:10.1103/physrevd.68.063004
published as Phys.Rev.D68:063004,2003 · 8 pages, 5 figures submitted to PRD
arxiv created 2003/06/02 · openalex publication_date 2003/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The cosmic microwave background (CMB) has provided a precise template for features in the linear power spectrum: the matter-radiation turnover, sound horizon drop, and acoustic oscillations. In a two-dimensional power spectrum in redshift and angular space, the features appear as distorted rings, and yield simultaneous, purely geometric, measures of the Hubble parameter H(z) and angular diameter distance DA(z) via an absolute version of the Alcock-Paczynski test. Employing a simple Fisher matrix tool, we explore how future surveys can exploit these rings of power for dark energy studies. High-z CMB determinations of H and DA are best complemented at moderate to low redshift (z\ensuremath\lesssim0.5) with a population of objects that are at least as abundant as clusters of galaxies. We find that a sample similar to that of the ongoing SDSS luminous red galaxy survey can achieve statistical errors at the \ensuremath∼5% level for DA(z) and H(z) in several redshift bins. This, in turn, implies errors of \ensuremathσ(w)=0.03--0.05 for a constant dark energy equation of state in a flat universe. Deep galaxy cluster surveys such as the planned South Pole Telescope survey can extend this test out to z\ensuremath∼1 or as far as redshift follow-up is available. We find that the expected constraints are at the \ensuremathσ(w)=0.04--0.08 level, comparable to those of galaxies and complementary in redshift coverage.