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Nonzero Density-Velocity Consistency Relations for Large Scale Structures.

Luca Alberto Rizzo1,2,3, David F Mota3, Patrick Valageas1,2

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New kinematic consistency relations for cosmological structures can be measured in surveys using cross-correlations between density and velocity fields. These findings are valid in nonlinear regimes and can constrain nonstandard cosmology and galaxy bias.

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Area of Science:

  • Cosmology
  • Astrophysics
  • Large-scale structure formation

Background:

  • Cosmological structure formation involves the evolution of density and velocity fields.
  • Existing methods often struggle to detect effects of large-scale modes on small-scale structures at equal times.
  • Weak equivalence principle and Gaussian initial conditions are foundational in standard cosmology.

Purpose of the Study:

  • To derive exact kinematic consistency relations for cosmological structures.
  • To identify measurable relations that do not vanish at equal times.
  • To provide new tools for constraining cosmological models and galaxy bias.

Main Methods:

  • Cross-correlating density and velocity (or momentum) fields.
  • Analyzing the uniform transport of small-scale structures by long-wavelength modes.
  • Developing relations valid in the nonlinear regime and for biased galaxy fields.

Main Results:

  • Exact kinematic consistency relations that are non-vanishing at equal times have been derived.
  • These relations capture the impact of large-scale modes on the velocity field amplitude.
  • The relations are independent of nonlinear evolution and galaxy bias.

Conclusions:

  • The derived relations offer a novel, measurable probe of cosmology.
  • They can be used to test the standard cosmological model and constrain nonstandard scenarios.
  • These relations provide a new method to measure large-scale galaxy bias.