Spatially averaged cosmology in an arbitrary coordinate system

Abstract

This paper presents a general averaging procedure for a set of observers which are tilted with respect to the cosmological matter fluid. After giving the full set of equations describing the local dynamics, we define the averaging procedure and apply it to the scalar parts of Einstein's field equations. In addition to the standard backreaction, new terms appear that account for the effect of the peculiar velocity of the matter fluid as well as the possible effect of a shift in the coordinate system.

8 pages, no figure. Replaced to match the version published in Phys. Rev. D

References in corpus (13)

• On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
• Dark Energy from structure: a status report
• On average properties of inhomogeneous fluids in general relativity II: perfect fluid cosmologies
• Cosmic clocks, cosmic variance and cosmic averages
• Dark energy from backreaction
• Effect of inhomogeneities on the expansion rate of the Universe
• Accelerated expansion from structure formation
• Cosmic microwave background anisotropies: Nonlinear dynamics
• Scale dependence of cosmological backreaction
• On the onset of cosmological backreaction
• Testing homogeneity on large scales in the Sloan Digital Sky Survey Data Release One
• Gauge invariant averages for the cosmological backreaction
• Cosmological Backreaction from Perturbations

Cited by in corpus (34)

• Backreaction in late-time cosmology
• Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology
• Average observational quantities in the timescape cosmology
• What is dust? - Physical foundations of the averaging problem in cosmology
• Light propagation in statistically homogeneous and isotropic universes with general matter content
• Departures from the FLRW Cosmological Model in an Inhomogeneous Universe: A Numerical Examination
• Multiscale cosmology and structure-emerging Dark Energy: A plausibility analysis
• A covariant and gauge invariant formulation of the cosmological "backreaction"
• Toward physical cosmology: focus on inhomogeneous geometry and its non-perturbative effects
• The influence of structure formation on the cosmic expansion
• Einstein's Universe: Cosmological structure formation in numerical relativity
• Applicability of the linearly perturbed FRW metric and Newtonian cosmology
• On average properties of inhomogeneous fluids in general relativity III: general fluid cosmologies
• The trouble with Hubble: Local versus global expansion rates in inhomogeneous cosmological simulations with numerical relativity
• Gauges and Cosmological Backreaction
• Covariant coarse-graining of inhomogeneous dust flow in General Relativity
• The Hubble rate in averaged cosmology
• The cosmological backreaction: gauge (in)dependence, observers and scalars
• Late time anisotropy as an imprint of cosmological backreaction
• From Clock Synchronization to Dark Matter as a Relativistic Inertial Effect
• The Averaging Problem in Cosmology
• Inhomogeneity-induced variance of cosmological parameters
• Isotropic Observers and the Inflationary Backreaction Problem
• Dynamical apparent horizons in inhomogeneous Brans-Dicke universes
• Backreaction: Gauge and Frame Dependences
• Averaging inhomogeneities in scalar-tensor cosmology
• On the physical effects of consistent cosmological averaging
• Accelerating the Universe with Gravitational Waves
• Expansion and Growth of Structure Observables in a Macroscopic Gravity Averaged Universe
• 3+1 formalism of the minimally extended varying speed of light model
• The fractal bubble model with a cosmological constant
• Towards physical cosmology: geometrical interpretation of Dark Energy, Dark Matter and Inflation without fundamental sources
• Non-Gaussianity in the Squeezed Three-Point Correlation from the Relativistic Effects
• Cosmic Dipoles from Large-Scale Structure Surveys