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A spatial correlation analysis for a toroidal universe

Ralf Aurich

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The spatial cross-correlation function ξC recently introduced by Roukema et al (2008 Astron. Astrophys. 486 55 (arXiv:0801.0006 [astro-ph])) is applied to the equilateral toroidal topology of the universe. Several CMB maps based on the WMAP 5yr data are analysed and a small likelihood in favour of a torus cell is revealed. The results are compared to ten ΛCDM simulations which point to a high false positive rate of the spatial-correlation-function method such that a firm conclusion cannot be drawn.


PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

98.70.Vc Background radiations

95.35.+d Dark matter (stellar, interstellar, galactic, and cosmological)

MSC

83F05 Cosmology

85A40 Cosmology (For relativistic cosmology, see 83F05)

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 22 (21 November 2008)

Received 11 June 2008, in final form 31 July 2008

Published 3 November 2008



  1. A spatial correlation analysis for a toroidal universe

    Ralf Aurich 2008 Class. Quantum Grav. 25 225017

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