http://arxiv.org/abs/2005.06484
We present the galaxy power spectrum in general relativity. Using a novel approach to computing the power spectrum, we derive the galaxy power spectrum taking into account all the relativistic effects in observations. We first demonstrate that the presence of an infrared divergence in previous calculations of the galaxy power spectrum is inconsistent with the equivalence principle, and we show that this unphysical behavior on large scales vanishes if we consider all the relativistic effects consistently. As a consequence, the relativistic effects in the galaxy power spectrum yield no corrections to the measurement of the primordial non-Gaussianity. We present our numerical computation of the full galaxy power spectrum, with particular emphasis on the deviations from the standard redshift-space power spectrum on large scales. We conclude that, as relativistic effects significantly alter the galaxy power spectrum at $k\lesssim k_{eq}$, they need to be taken into account in the analysis of large-scale data.
N. Grimm, F. Scaccabarozzi, J. Yoo, et. al.
Fri, 15 May 20
29/65
Comments: 29 pages, 10 figures, submitted to JCAP
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