4.7 Article

Angular-averaged consistency relations of large-scale structures

期刊

PHYSICAL REVIEW D
卷 89, 期 12, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.89.123522

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  1. French Agence Nationale de la Recherche [ANR-12-BS05-0002]
  2. Agence Nationale de la Recherche (ANR) [ANR-12-BS05-0002] Funding Source: Agence Nationale de la Recherche (ANR)

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The cosmological dynamics of gravitational clustering satisfies an approximate invariance with respect to the cosmological parameters that is often used to simplify analytical computations. We describe how this approximate symmetry gives rise to angular-averaged consistency relations for the matter density correlations. This allows one to write the (l + n) density correlation, with l large-scale linear wave numbers that are integrated over angles, and n fixed small-scale nonlinear wave numbers, in terms of the small-scale n-point density correlation and l prefactors that involve the linear power spectra at the large-scale wave numbers. These relations, which do not vanish for equal-time statistics, go beyond the already known kinematic consistency relations. They could be used to detect primordial non-Gaussianities, modifications of gravity, limitations of galaxy biasing schemes, or to help design analytical models of gravitational clustering.

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