Observed galaxy number counts on the lightcone up to second order: II. Derivation

被引:48
|
作者
Bertacca, Daniele [1 ]
Maartens, Roy [1 ,2 ]
Clarkson, Chris [3 ,4 ]
机构
[1] Univ Western Cape, Dept Phys, ZA-7535 Cape Town, South Africa
[2] Univ Portsmouth, Inst Cosmol & Gravitat, Portsmouth PO1 3FX, Hants, England
[3] Univ Cape Town, Ctr Astrophys Cosmol & Gravitat, ZA-7701 Cape Town, South Africa
[4] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Cape Town, South Africa
基金
新加坡国家研究基金会;
关键词
gravity; cosmic flows; cosmic web; cosmological perturbation theory; PERTURBATIONS;
D O I
10.1088/1475-7516/2014/11/013
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a detailed derivation of the observed galaxy number over-density on cosmological scales up to second order in perturbation theory. We include all relativistic effects that arise from observing on the past lightcone. The derivation is in a general gauge, and applies to all dark energy models (including interacting dark energy) and to metric theories of modified gravity. The result will be important for accurate cosmological parameter estimation, including non-Gaussianity, since all projection effects need to be taken into account. It also offers the potential for new probes of General Relativity, dark energy and modified gravity. This paper accompanies Paper I which presents the key results for the concordance model in Poisson gauge.
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页数:62
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