Cosmological Non-Linearities as an Effective Fluid

Abstract

The universe is smooth on large scales but very inhomogeneous on small scales. Why is the spacetime on large scales modeled to a good approximation by the Friedmann equations? Are we sure that small-scale non-linearities do not induce a large backreaction? Related to this, what is the effective theory that describes the universe on large scales? In this paper we make progress in addressing these questions. We show that the effective theory for the long-wavelength universe behaves as a viscous fluid coupled to gravity: integrating out short-wavelength perturbations renormalizes the homogeneous background and introduces dissipative dynamics into the evolution of long-wavelength perturbations. The effective fluid has small perturbations and is characterized by a few parameters like an equation of state, a sound speed and a viscosity parameter. These parameters can be matched to numerical simulations or fitted from observations. We find that the backreaction of small-scale non-linearities is very small, being suppressed by the large hierarchy between the scale of non-linearities and the horizon scale. The effective pressure of the fluid is always positive and much too small to significantly affect the background evolution. Moreover, we prove that virialized scales decouple completely from the large-scale dynamics, at all orders in the post-Newtonian expansion. We propose that our effective theory be used to formulate a well-defined and controlled alternative to conventional perturbation theory, and we discuss possible observational applications. Finally, our way of reformulating results in second-order perturbation theory in terms of a long-wavelength effective fluid provides the opportunity to understand non-linear effects in a simple and physically intuitive way.

84 pages, 3 figures

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• Straightening the Ruler: Field-Level Inference of the BAO Scale with LEFTfield
• The gravitational force field of proto-pancakes
• Cosmological gravity on all scales IV: 3x2pt Fisher forecasts for pixelised phenomenological modified gravity
• The Compressed 3D Lyman-Alpha Forest Bispectrum
• A model-independent measurement of the expansion and growth rates from BOSS using the FreePower method
• DESI forecast for Dark Matter-Neutrino interactions using EFTofLSS
• Testing the assumptions of the Effective Field Theory of Large-Scale Structure
• Cosmological perturbation theory for large scale structure in phase space
• Renormalization group computation of likelihood functions for cosmological data sets
• The Effective Field Theory of Large Scale Structure for Mixed Dark Matter Scenarios
• Phenomenological power spectrum models for H$\alpha$ emission line galaxies from the Nancy Grace Roman Space Telescope
• Scalar and vector perturbations in a universe with nonlinear perfect fluid
• The reach of next-to-leading-order perturbation theory for the matter bispectrum
• Projection of the gravitational dynamics on a subspace of probability distributions: curl-free Gaussian ansatz
• Mapping luminous and dark matter in the Universe
• Statistical Decoupling of Lagrangian Fluid Parcel in Newtonian Cosmology
• Baryonic effects in the Effective Field Theory of Large-Scale Structure and an analytic recipe for lensing in CMB-S4
• On the origin of transient features in cosmological N-Body Simulations
• Perturbation theory challenge for cosmological parameters estimation II.: Matter power spectrum in redshift space
• Modelling the covariance matrix for the power spectra before and after the BAO reconstruction
• The Effective Field Theory of Large Scale Structures of a Fuzzy Dark Matter Universe
• Probabilistic Lagrangian bias estimators and the cumulant bias expansion
• A Local Model for the Spherical Collapse/Expansion Problem
• Cosmological functional renormalisation group, extended Galilean invariance and the sweeping effect
• Gaussian Lagrangian Galaxy Bias
• Calculating the EFT likelihood via saddle-point expansion
• Excursion Sets with a "Perfect" Collapse Model
• Implementing spectra response function approaches for fast calculation of power spectra and bispectra
• Modeling the Cosmological Lyman-$\alpha$ Forest at the Field Level
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries
• New tests of dark sector interactions from the full-shape galaxy power spectrum
• Constraining decaying dark matter with BOSS data and the effective field theory of large-scale structures
• Lagrangian-space Gaussian ansatz for the matter redshift-space power spectrum and correlation function
• A semi-analytic estimate for the effective sound speed counterterm in the EFTofLSS
• Parity Violation in Galaxy Shapes: Primordial Non-Gaussianity
• A New Paradigm for Testing Gravity: Theory-Independent Constraints Using Data From All Astrophysical and Cosmological Scales
• Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study
• Perturbation Theory Remixed II: Improved Modeling of Nonlinear Bispectrum
• Precision calculation of the EFT likelihood with primordial non-Gaussianities
• The Impact of Spectroscopic Redshift Errors on Cosmological Measurements
• Effective description of dark matter as a viscous fluid
• Exploring the cosmological degeneracy between decaying dark matter model and viscous $\Lambda$CDM
• Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
• Encyclopedia of Astrophysics: The Expanding Universe
• Accelerated expansion in the effective field theory of a radiation dominated universe
• Testing growth rate dependence in cosmological perturbation theory using scale-free models
• Model-agnostic interpretation of 10 billion years of cosmic evolution traced by BOSS and eBOSS data
• Fast Baryonic Field Painting for Sunyaev-Zel'dovich Analyses: Transfer Function vs. Hybrid Effective Field Theory
• Neural Network Acceleration of Large-scale Structure Theory Calculations
• Sensitivity of Cosmological Parameter Estimation to Nonlinear Prescription from Cosmic Shear
• Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order
• Effects of New Forces on Scalar Dark Matter Solitons
• Bridging Simulations and EFT: A Hybrid Model of the Lyman-Alpha Forest Field
• Web-Halo Model (WHM): Accurate non-linear matter power spectrum predictions without free parameters
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism
• The impact of the redshift-dependent selection effect of halos on the redshift-space power spectrum
• On the Statistical Evolution of the Large-scale Structure and the Effective Dynamics
• Interacting dark energy from redshift-space galaxy clustering
• The Hubble tension as an effect of the renormalization of fundamental constants and cosmological parameters
• Phase-space perturbation theory for cosmic large-scale structure
• Euclid preparation. Full-shape modelling of 2-point and 3-point correlation functions in real space
• Stable Clustering Ansatz, Consistency Relations and Gravity Dual of Large-Scale Structure
• Exploring the CMB Power Suppression in Canonical Inflation Models
• Post-collapse Lagrangian perturbation theory in three dimensions
• On the Connection between Field-Level Inference and $n$-point Correlation Functions
• Testing Large-Scale Structure Measurements Against Fisher Matrix Predictions
• Growth rate measurements from a joint analysis of the large-scale galaxy clustering in Fourier and configuration space