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Lensing and time-delay contributions to galaxy correlations

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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.

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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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Authors and Affiliations

  1. Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, 91109, USA

    Alvise Raccanelli & Olivier Doré

  2. California Institute of Technology, Pasadena, CA, 91125, USA

    Alvise Raccanelli & Olivier Doré

  3. Physics Department, University of the Western Cape, Cape Town, 7535, South Africa

    Daniele Bertacca & Roy Maartens

  4. Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth, PO1 3FX, UK

    Roy Maartens

  5. Centre for Astrophysics, Cosmology and Gravitation, and, Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town, 7701, South Africa

    Chris Clarkson

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  1. Alvise Raccanelli
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Correspondence to Daniele Bertacca.

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Raccanelli, A., Bertacca, D., Maartens, R. et al. Lensing and time-delay contributions to galaxy correlations. Gen Relativ Gravit 48, 84 (2016). https://doi.org/10.1007/s10714-016-2076-8

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