The genus curve of the Abell clusters

James E. Rhoads, J. Richard Gott, Marc Postman

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We study the topology of large-scale structure through a genus curve measurement of the recent Abell catalog redshift survey of Postman, Huchra, & Geller (1992). The structure is found to be spongelike near median density and to exhibit isolated superclusters and voids at high and low densities, respectively. The genus curve shows a slight shift toward "meatball" topology, but remains consistent with the hypothesis of Gaussian random phase initial conditions. The amplitude of the genus curve corresponds to a power-law spectrum with index n = 0.21+0.43 -0.47 on scales of 48h-1 Mpc or to a cold dark matter power spectrum with Ωh = 0.36+0.46 -0.17.

Original languageEnglish (US)
Pages (from-to)1-8
Number of pages8
JournalAstrophysical Journal
Volume421
Issue number1
StatePublished - Jan 20 1994
Externally publishedYes

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topology
curves
void
power law
catalogs
power spectra
voids
dark matter
shift
cold
index

Keywords

  • Cosmology: theory
  • Galaxies: clustering
  • Large-scale structure of universe

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

Rhoads, J. E., Gott, J. R., & Postman, M. (1994). The genus curve of the Abell clusters. Astrophysical Journal, 421(1), 1-8.

The genus curve of the Abell clusters. / Rhoads, James E.; Gott, J. Richard; Postman, Marc.

In: Astrophysical Journal, Vol. 421, No. 1, 20.01.1994, p. 1-8.

Research output: Contribution to journalArticle

Rhoads, JE, Gott, JR & Postman, M 1994, 'The genus curve of the Abell clusters', Astrophysical Journal, vol. 421, no. 1, pp. 1-8.
Rhoads JE, Gott JR, Postman M. The genus curve of the Abell clusters. Astrophysical Journal. 1994 Jan 20;421(1):1-8.
Rhoads, James E. ; Gott, J. Richard ; Postman, Marc. / The genus curve of the Abell clusters. In: Astrophysical Journal. 1994 ; Vol. 421, No. 1. pp. 1-8.
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