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The Astrophysical Journal
Article . 2000 . Peer-reviewed
Data sources: Crossref
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https://dx.doi.org/10.48550/ar...
Article . 1999
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Constraints on Primordial Non‐Gaussianity from the High‐Redshift Cluster MS 1054−03

Authors: Willick, Jeffrey A.;

Constraints on Primordial Non‐Gaussianity from the High‐Redshift Cluster MS 1054−03

Abstract

The implications of the massive, X-ray selected cluster of galaxies MS1054--03 at $z=0.83$ are discussed in light of the hypothesis that the primordial density fluctuations may be nongaussian. We generalize the Press-Schechter (PS) formalism to the nongaussian case, and calculate the likelihood that a cluster as massive as MS1054 would appear in the EMSS. The probability of finding an MS1054-like cluster depends only on $\omegam$ and the extent of primordial nongaussianity. We quantify the latter by adopting a specific functional form for the PDF, denoted $ψ_λ,$ which tends to Gaussianity for $λ\gg 1,$ and show how $λ$ is related to the more familiar statistic $T,$ the probability of $\ge 3σ$ fluctuations for a given PDF relative to a Gaussian. We find that Gaussian initial density fluctuations are consistent with the data on MS1054 only if $\omegam\simlt 0.2.$ For $\omegam\ge 0.25$ a significant degree of nongaussianity is required, unless the mass of MS1054 has been substantially overestimated by X-ray and weak lensing data. The required amount of nongaussianity is a rapidly increasing function of $\omegam$ for $0.25 \le \omegam \le 0.45,$ with $λ\le 1$ ($T \simgt 7$) at the upper end of this range. For a fiducial $\omegam=0.3,$ $\omegal=0.7$ universe, favored by several lines of evidence we obtain an upper limit $λ\le 10,$ corresponding to a $T\ge 3.$ This finding is consistent with the conclusions of Koyama, Soda, & Taruya (1999), who applied the generalized PS formalism to low ($z\simlt 0.1$) and intermediate ($z\simlt 0.6$) redshift cluster data sets.

15 pages, 11 figures, submitted to the Astrophysical Journal, uses emulateapj.sty

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Keywords

Astrophysics (astro-ph), FOS: Physical sciences, Astrophysics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
27
Average
Top 10%
Top 10%
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