Kinematic consistency relations of large-scale structures

Abstract

We describe how the kinematic consistency relations satisfied by density correlations of the large-scale structures of the Universe can be derived within the usual Newtonian framework. These relations express a kinematic effect and show how the $(\ell +n)$-density correlation factors in terms of the $n$-point correlation and $\ell$ linear power spectrum factors, in the limit where the $\ell$ soft wave numbers become linear and much smaller than the $n$ other wave numbers. We describe how these relations extend to multifluid cases. In the standard cosmology, these consistency relations derive from the equivalence principle. A detection of their violation would indicate non-Gaussian initial conditions, non-negligible decaying modes, or a modification of gravity that does not converge to General Relativity on large scales.

14 pages

References in corpus (9)

• f(R) Gravity and Chameleon Theories
• Equivalence Principle Implications of Modified Gravity Models
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Multi-Point Propagators in Cosmological Gravitational Instability
• Large-N expansions applied to gravitational clustering
• Structure Formation in Modified Gravity Scenarios
• Using the Zeldovich dynamics to test expansion schemes
• Expansion schemes for gravitational clustering: computing two-point and three-point functions

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