Perturbed redshifts from N-body simulations

Abstract

In order to keep pace with the increasing data quality of astronomical surveys the observed source redshift has to be modeled beyond the well-known Doppler contribution. In this letter I want to examine the gauge issue that is often glossed over when one assigns a perturbed redshift to simulated data generated with a Newtonian N-body code. A careful analysis reveals the presence of a correction term that has so far been neglected. It is roughly proportional to the observed length scale divided by the Hubble scale and therefore suppressed inside the horizon. However, on gigaparsec scales it can be comparable to the gravitational redshift and hence amounts to an important relativistic effect.

arXiv comment5 pages; v2: minor revision, accepted version

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• Imprints of relativistic effects on the asymmetry of the halo cross-correlation function: from linear to non-linear scales
• Bias and scatter in the Hubble diagram from cosmological large-scale structure
• Non-linear general relativistic effects in the observed redshift
• The large-scale general-relativistic correction for Newtonian mocks
• Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations
• Ray tracing the integrated Sachs-Wolfe effect through the light cones of the Dark Energy Universe Simulation -- Full Universe Runs