Cosmological observables in a Swiss-cheese universe

Valerio Marra, Edward W. Kolb, Sabino Matarrese, and Antonio Riotto
Phys. Rev. D 76, 123004 – Published 5 December 2007

Abstract

Photon geodesics are calculated in a Swiss-cheese model, where the cheese is made of the usual Friedmann-Robertson-Walker (FRW) solution and the holes are constructed from a Lemaître-Tolman-Bondi solution of Einstein’s equations. The observables on which we focus are the changes in the redshift, in the angular-diameter-distance relation, in the luminosity-distance-redshift relation, and in the corresponding distance modulus. We find that redshift effects are suppressed when the hole is small because of a compensation effect acting on the scale of half a hole resulting from the special case of spherical symmetry. However, we find interesting effects in the calculation of the angular distance: strong evolution of the inhomogeneities (as in the approach to caustic formation) causes the photon path to deviate from that of the FRW case. Therefore, the inhomogeneities are able to partly mimic the effects of a dark-energy component. Our results also suggest that the nonlinear effects of caustic formation in cold dark matter models may lead to interesting effects on photon trajectories.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
14 More
  • Received 3 September 2007

DOI:https://doi.org/10.1103/PhysRevD.76.123004

©2007 American Physical Society

Authors & Affiliations

Valerio Marra*

  • Dipartimento di Fisica “G. Galilei” Università di Padova, INFN Sezione di Padova, via Marzolo 8, Padova I-35131, Italy
  • Department of Astronomy and Astrophysics, The University of Chicago, Chicago, Illinois 60637-1433, USA

Edward W. Kolb

  • Department of Astronomy and Astrophysics, Enrico Fermi Institute, Kavli Institute for Cosmological Physics, The University of Chicago, Chicago, Illinois 60637-1433, USA

Sabino Matarrese

  • Dipartimento di Fisica “G. Galilei” Università di Padova, INFN Sezione di Padova, via Marzolo 8, Padova I-35131, Italy

Antonio Riotto§

  • Département de Physique Théorique, Université de Gèneve, 24 Quai Ansermet, Gèneve, Switzerland, and INFN Sezione di Padova, via Marzolo 8, Padova I-35131, Italy

  • *valerio.marra@pd.infn.it
  • rocky.kolb@uchicago.edu
  • sabino.matarrese@pd.infn.it
  • §antonio.riotto@pd.infn.it

See Also

Light-cone averages in a Swiss-cheese universe

Valerio Marra, Edward W. Kolb, and Sabino Matarrese
Phys. Rev. D 77, 023003 (2008)

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 76, Iss. 12 — 15 December 2007

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×