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Vector perturbations of galaxy number counts

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Published 21 July 2016 © 2016 IOP Publishing Ltd and Sissa Medialab srl
, , Citation Ruth Durrer and Vittorio Tansella JCAP07(2016)037 DOI 10.1088/1475-7516/2016/07/037

1475-7516/2016/07/037

Abstract

We derive the contribution to relativistic galaxy number count fluctuations from vector and tensor perturbations within linear perturbation theory. Our result is consistent with the the relativistic corrections to number counts due to scalar perturbation, where the Bardeen potentials are replaced with line-of-sight projection of vector and tensor quantities. Since vector and tensor perturbations do not lead to density fluctuations the standard density term in the number counts is absent. We apply our results to vector perturbations which are induced from scalar perturbations at second order and give numerical estimates of their contributions to the power spectrum of relativistic galaxy number counts.

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10.1088/1475-7516/2016/07/037