Flat Universe with hyperbolic voids

V. G. Gurzadyan; A. A. Kocharyan

doi:10.1209/0295-5075/86/29002

All issues

Volume 86 / No 2 (April 2009)

EPL, 86 2 (2009) 29002

Abstract

Issue		EPL Volume 86, Number 2, April 2009


Article Number		29002
Number of page(s)		5
Section		Geophysics, Astronomy and Astrophysics
DOI		https://doi.org/10.1209/0295-5075/86/29002
Published online		06 May 2009

EPL, 86 (2009) 29002

Flat Universe with hyperbolic voids

V. G. Gurzadyan¹^,2 and A. A. Kocharyan¹^,2^,3

¹ Yerevan Physics Institute - Yerevan, Armenia
² Yerevan State University - Yerevan, Armenia
³ School of Mathematical Sciences, Monash University - Clayton, Australia

Corresponding author: gurzadya@icra.it

Received: 29 November 2008
Accepted: 31 March 2009

Abstract

The properties of geodesics flow are studied in a Friedmann-Robertson-Walker metric perturbed due to the inhomogeneities of matter. The basic, averaged Jacobi equation is derived, which reveals that the low-density regions (voids) are able to induce hyperbolicity, even if the global curvature of the Universe is zero or slightly positive. It is shown that the energy independence is a characteristic property of these geometric effects. The importance of these conclusions is determined by the temperature independent ellipticity of excursion sets and regions of different randomness found in Kolmogorov Cosmic Microwave Background (CMB) maps.

PACS: 98.80.-k – Cosmology / 98.70.Vc – Background radiations / 95.10.Fh – Chaotic dynamics

© EPLA, 2009

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