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Observed galaxy number counts on the lightcone up to second order: I. Main result

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arxiv 1405.4403 v5 pith:RR335GGP submitted 2014-05-17 astro-ph.CO

Daniele Bertacca (Western Cape) , Roy Maartens (Western Cape , Portsmouth) , Chris Clarkson (Cape Town) This is my paper · ORCID
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keywords effectsorderresultsecondestimatesgalaxynumberredshift
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We present the galaxy number overdensity up to second order in redshift space on cosmological scales for a concordance model. The result contains all general relativistic effects up to second order that arise from observing on the past light cone, including all redshift effects, lensing distortions from convergence and shear, and contributions from velocities, Sachs-Wolfe, integrated SW and time-delay terms. This result will be important for accurate calculation of the bias on estimates of non-Gaussianity and on precision parameter estimates, introduced by nonlinear projection effects.

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Cited by 4 Pith papers

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

  1. Nonlinear Relativistic Effects on Cosmological Redshift Drift

    astro-ph.CO 2026-04 unverdicted novelty 8.0 of 10

    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. Tetrad formalism for exact cosmological observables

    astro-ph.CO 2019-08 accept novelty 7.0 of 10

    The paper derives exact, coordinate-independent equations for cosmological observables on a new 'observer space-time' manifold, using tetrads to track the observer frame.

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

    astro-ph.CO 2026-05 unverdicted novelty 6.0 of 10

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

  4. The Odd-Parity Part of the Observed Galaxy Trispectrum

    astro-ph.CO 2024-11 conditional novelty 5.0 of 10

    Relativistic light-cone effects alone generate a nonzero parity-odd galaxy trispectrum, at 10-80% of the even part at large scales.

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