Detectability of Cosmic Dark Flow in the Type Ia Supernova Redshift-Distance Relation

Abstract

We re-analyze the detectability of large scale dark flow (or local bulk flow) with respect to the CMB background based upon the redshift-distance relation for Type Ia supernovae (SN Ia). We made two independent analyses: one based upon identifying the three Cartesian velocity components; and the other based upon the cosine dependence of the deviation from Hubble flow on the sky. We apply these analyses to the Union2.1 SN Ia data and to the SDSS-II supernova survey. For both methods, results for low redshift, $z<0.05$, are consistent with previous searches. We find a local bulk flow of $v_{\mathrm{bf}}\sim 300$ km s${}^{-1}$ in the direction of $(l,b)\sim (270,35{)}^{\circ }$. However, the search for a dark flow at $z>0.05$ is inconclusive. Based upon simulated data sets, we deduce that the difficulty in detecting a dark flow at high redshifts arises mostly from the observational error in the distance modulus. Thus, even if it exists, a dark flow is not detectable at large redshift with current SN Ia data sets. We estimate that a detection would require both significant sky coverage of SN Ia out to $z=0.3$ and a reduction in the effective distance modulus error from 0.2 mag to $\lesssim 0.02$ mag. We estimate that a greatly expanded data sample of $\sim 10^4$ SN Ia might detect a dark flow as small as 300 km s${}^{-1}$ out to $z=0.3$ even with a distance modulus error of $0.2$ mag. This may be achievable in a next generation large survey like LSST.

12 pages, 11 figures, resubmitted to ApJ

References in corpus (18)

• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• The Sloan Digital Sky Survey-II Supernova Survey: Technical Summary
• The Laniakea supercluster of galaxies
• The Sloan Digital Sky Survey-II Supernova Survey: Search Algorithm and Follow-up Observations
• The 6dF Galaxy Survey: Peculiar Velocity Field and Cosmography
• Probing the isotropy of cosmic acceleration traced by Type Ia supernovae
• Cosmic Bulk Flow and the Local Motion from Cosmicflows-2
• The peculiar velocity field: constraining the tilt of the Universe
• Improving Cosmological Distance Measurements Using Twin Type Ia Supernovae
• Probing the Dark Flow signal in WMAP 9 yr and PLANCK cosmic microwave background maps
• Probing bulk flow with nearby SNe Ia data
• No evidence for bulk velocity from type Ia supernovae
• 'Tilting' the Universe with the Landscape Multiverse: The 'Dark' Flow
• On the perturbation of the luminosity distance by peculiar motions
• Tracing the cosmic velocity field at z ~ 0.1 from galaxy luminosities in the SDSS DR7
• Constraints on Pre-inflation Fluctuations in a Nearly Flat Open ΛCDM Cosmology
• The Hubble Expansion is Isotropic in the Epoch of Dark Energy

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• Explaining Excess Dipole in NVSS Data Using Superhorizon Perturbation
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