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

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arxiv 1406.0319 v4 pith:XKCQVE6M submitted 2014-06-02 astro-ph.CO gr-qchep-ph

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

Daniele Bertacca (Western Cape) , Roy Maartens (Western Cape , Portsmouth) , Chris Clarkson (Cape Town) This is my paper
classification astro-ph.CO gr-qchep-ph
keywords darkderivationenergycosmologicaleffectsgalaxygaugegeneral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 many modified gravity models. 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Nonlinear Relativistic Effects on Cosmological Redshift Drift

    astro-ph.CO 2026-04 unverdicted novelty 8.0

    Second-order relativistic effects on redshift drift are computed, showing distortions appear only at this order with enhanced nonlinear bispectrum contributions at low redshift and large momenta.

  2. The observer power spectrum for lightcone statistics, integrated relativistic observables and wide angle effects

    astro-ph.CO 2026-05 unverdicted novelty 6.0

    Introduces the observer power spectrum as a diagonal Fourier-space statistic for lightcone observables by transforming over observer positions rather than sources.