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

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.
Authors:
;  [1] ;  [2]
  1. Physics Department, University of the Western Cape, Cape Town 7535 (South Africa)
  2. Centre for Astrophysics, Cosmology and Gravitation, and, Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town 7701 (South Africa)
Publication Date:
OSTI Identifier:
22375757
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; DENSITY; GALAXIES; GENERAL RELATIVITY THEORY; GRAVITATION; LIGHT CONE; METRICS; NONLUMINOUS MATTER; PERTURBATION THEORY; POTENTIALS; RELATIVISTIC RANGE