Galaxy number counts at second order: an independent approach
Open Access
- 7 January 2021
- journal article
- research article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 38 (6), 065014
- https://doi.org/10.1088/1361-6382/abd95c
Abstract
Next generation surveys will be capable of determining cosmological parameters beyond percent level. To match this precision, theoretical descriptions should look beyond the linear perturbations to approximate the observables in large scale structure. A quantity of interest is the Number density of galaxies detected by our instruments. This has been focus of interest recently, and several efforts have been made to explain relativistic effects theoretically, thereby testing the full theory. However, the results at nonlinear level from previous works are in disagreement. We present a new and independent approach to computing the relativistic galaxy number counts to second order in cosmological perturbation theory. We derive analytical expressions for the full second order relativistic observed redshift, for the angular diameter distance and for the volume spanned by a survey. Finally, we compare our results with previous works which compute the general distance- redshift relation, finding that our result is in agreement at linear order.Keywords
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Funding Information
- Science and Technology Facilities Council (ST/M001202/ ST/P000592/1)
- Queen Mary University of London
- Consejo Nacional de Ciencia y Tecnología (603085 SEP-CONACYT CB-2016-282569)
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