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Lensing and time-delay contributions to galaxy correlations

  • Alvise Raccanelli
  • Daniele Bertacca
  • Roy Maartens
  • Chris Clarkson
  • Olivier Doré
Research Article

Abstract

Galaxy clustering on very large scales can be probed via the 2-point correlation function in the general case of wide and deep separations, including all the lightcone and relativistic effects. Using our recently developed formalism, we analyze the behavior of the local and integrated contributions and how these depend on redshift range, linear and angular separations and luminosity function. Relativistic corrections to the local part of the correlation can be non-negligible but they remain generally sub-dominant. On the other hand, the additional correlations arising from lensing convergence and time-delay effects can become very important and even dominate the observed total correlation function. We investigate different configurations formed by the observer and the pair of galaxies, and we find that the case of near-radial large-scale separations is where these effects will be the most important.

Keywords

Galaxy clustering Correlation function Relativistic effects 

Notes

Acknowledgments

We thank Guido Pettinari for useful suggestions and Nicola Bartolo, Francis-Yan Cyr-Racine, Ruth Durrer, Chris Hirata, Sabino Matarrese, Roland de Putter and Masahiro Takada for helpful discussions. Part of the research described in this paper was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. DB and RM are supported by the South African Square Kilometre Array Project. RM is supported by the STFC (UK) (Grant No. ST/H002774/1). RM and CC are supported by the National Research Foundation (NRF, South Africa). DB, RM and CC were supported by a Royal Society (UK)/ NRF (SA) exchange grant. Some of the numerical computations were performed on the COSMOS supercomputer, part of the DiRAC HPC, a facility funded by STFC and BIS.

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Alvise Raccanelli
    • 1
    • 2
  • Daniele Bertacca
    • 3
  • Roy Maartens
    • 3
    • 4
  • Chris Clarkson
    • 5
  • Olivier Doré
    • 1
    • 2
  1. 1.Jet Propulsion LaboratoryCalifornia Institute of TechnologyPasadenaUSA
  2. 2.California Institute of TechnologyPasadenaUSA
  3. 3.Physics DepartmentUniversity of the Western CapeCape TownSouth Africa
  4. 4.Institute of Cosmology and GravitationUniversity of PortsmouthPortsmouthUK
  5. 5.Centre for Astrophysics, Cosmology and Gravitation, and, Department of Mathematics and Applied MathematicsUniversity of Cape TownCape TownSouth Africa

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