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The relativistic galaxy number counts in the weak field approximation


Di Dio, Enea; Beutler, Florian (2020). The relativistic galaxy number counts in the weak field approximation. Journal of Cosmology and Astroparticle Physics, 2020(09):058.

Abstract

We present a novel approach to compute systematically the relativistic projection effects at any order in perturbation theory within the weak field approximation. In this derivation the galaxy number counts is written completely in terms of the redshift perturbation. The relativistic effects break the symmetry along the line-of-sight and they source, contrarily to the standard perturbation theory, the odd multipoles of the matter power spectrum or 2-point correlation function, providing a unique signature for their detection in Large Scale Structure surveys. We show that our approach agrees with previous derivations (up to third order) of relativistic effects and, for the first time, we derive a model for the transverse Doppler effect. Moreover, we {show} that in the Newtonian limit this approach is consistent with standard perturbation theory at any order.

Abstract

We present a novel approach to compute systematically the relativistic projection effects at any order in perturbation theory within the weak field approximation. In this derivation the galaxy number counts is written completely in terms of the redshift perturbation. The relativistic effects break the symmetry along the line-of-sight and they source, contrarily to the standard perturbation theory, the odd multipoles of the matter power spectrum or 2-point correlation function, providing a unique signature for their detection in Large Scale Structure surveys. We show that our approach agrees with previous derivations (up to third order) of relativistic effects and, for the first time, we derive a model for the transverse Doppler effect. Moreover, we {show} that in the Newtonian limit this approach is consistent with standard perturbation theory at any order.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Astronomy and Astrophysics
Uncontrolled Keywords:Astronomy and Astrophysics
Language:English
Date:29 September 2020
Deposited On:15 Feb 2021 08:51
Last Modified:16 Feb 2021 21:00
Publisher:IOP Publishing
ISSN:1475-7516
OA Status:Closed
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1088/1475-7516/2020/09/058

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