Cosmological background solutions and cosmological backreactions

Abstract

The cosmological backreaction proposal, which attempts to account for observations without a primary dark energy source in the stress-energy tensor, has been developed and discussed by means of different approaches. Here, we focus on the concept of cosmological background solutions in order to develop a framework to study different backreaction proposals.

14 pages, 5 figures; major changes, replaced to match the version published in General Relativity and Gravitation

References in corpus (32)

• Dark Energy from structure: a status report
• An inhomogeneous alternative to dark energy?
• Cosmic clocks, cosmic variance and cosmic averages
• Exact solution to the averaging problem in cosmology
• On cosmological observables in a swiss-cheese universe
• Accelerated expansion from structure formation
• The effect of inhomogeneous expansion on the supernova observations
• Testing backreaction effects with observations
• Light-cone averages in a swiss-cheese universe
• Can we avoid dark energy?
• Nonlinear Structure Formation and "Apparent" Acceleration: an Investigation
• Archipelagian Cosmology: Dynamics and Observables in a Universe with Discretized Matter Content
• Mapping Luminosity-Redshift Relationship to LTB Cosmology
• Local Void vs Dark Energy: Confrontation with WMAP and Type Ia Supernovae
• Can inhomogeneties accelerate the cosmic volume expansion?
• Light Propagation and Large-Scale Inhomogeneities
• Luminosity distance in "Swiss cheese" cosmology with randomized voids: I. Single void size
• The radial BAO scale and Cosmic Shear, a new observable for Inhomogeneous Cosmologies
• The influence of structure formation on the cosmic expansion
• A new stochastic approach to cumulative weak lensing
• Gravitational energy as dark energy: Concordance of cosmological tests
• Cosmological Backreaction from Perturbations
• The Spatial Averaging Limit of Covariant Macroscopic Gravity - Scalar Corrections to the Cosmological Equations
• Swiss Cheese and a Cheesy CMB
• Apparent and average acceleration of the Universe
• Description of our cosmological spacetime as a perturbed conformal Newtonian metric and implications for the backreaction proposal for the accelerating universe
• Gravitational Backreaction of Matter Inhomogeneities
• LTB solutions in Newtonian gauge: from strong to weak fields
• Averaging Robertson-Walker Cosmologies
• Analytical Estimate of the Effect of Spherical Inhomogeneities on Luminosity Distance and Redshift
• Lensing effects in inhomogeneous cosmological models
• Accelerating the Universe with Gravitational Waves

Cited by in corpus (59)

• Dark Energy
• Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology
• A new framework for analyzing the effects of small scale inhomogeneities in cosmology
• Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?
• Observational constraints on inhomogeneous cosmological models without dark energy
• Supernova cosmology: legacy and future
• Light propagation in statistically homogeneous and isotropic universes with general matter content
• Multiscale cosmology and structure-emerging Dark Energy: A plausibility analysis
• Szekeres Swiss-Cheese model and supernova observations
• Inhomogeneity effects in Cosmology
• Toward physical cosmology: focus on inhomogeneous geometry and its non-perturbative effects
• Lagrangian theory of structure formation in relativistic cosmology II: average properties of a generic evolution model
• Applicability of the linearly perturbed FRW metric and Newtonian cosmology
• Inhomogeneities in the universe
• Is backreaction really small within concordance cosmology?
• Fractal universe and cosmic acceleration in a Lemaître-Tolman-Bondi scenario
• The missing link: a nonlinear post-Friedmann framework for small and large scales
• Accurate Modeling of Weak Lensing with the sGL Method
• Observational constraints on the LLTB model
• Global gravitational instability of FLRW backgrounds - interpreting the dark sectors
• Ricci focusing, shearing, and the expansion rate in an almost homogeneous Universe
• Constraining Modified Gravity with Euclid
• Backreaction and Stochastic Effects in Single Field Inflation
• Virialisation-induced curvature as a physical explanation for dark energy
• Celestial Ephemerides in an Expanding Universe
• Exact spherically-symmetric inhomogeneous model with n perfect fluids
• Observables in a lattice Universe
• A void in the Hubble tension? The end of the line for the Hubble bubble
• An effective description of Laniakea: impact on cosmology and the local determination of the Hubble constant
• Backreaction in Cosmology
• Testing homogeneity in the Sloan Digital Sky Survey Data Release Twelve with Shannon entropy
• Euclid: Forecast constraints on consistency tests of the $\Lambda$CDM model
• A method for testing the cosmic homogeneity with Shannon entropy
• Chaplygin gas and effective description of inhomogeneous universe models in general relativity
• Intrinsic uncertainty on the nature of dark energy
• Averaging in cosmological models using scalars
• Dynamical apparent horizons in inhomogeneous Brans-Dicke universes
• Light-cone observations and cosmological models: implications for inhomogeneous models mimicking dark energy
• Probing large scale homogeneity and periodicity in the LRG distribution using Shannon entropy
• Dynamic Field Theory and Equations of Motion in Cosmology
• Light propagation in the averaged universe
• Relativistic cosmological perturbation scheme on a general background: scalar perturbations for irrotational dust
• A novel approach to cosmological non-linearities as an effective fluid
• On the physical effects of consistent cosmological averaging
• Averaging inhomogeneities in scalar-tensor cosmology
• A comparison theorem for cosmological lightcones
• The Embedded Transparent Lens and Fermat's Least-Time Principle
• Accelerating the Universe with Gravitational Waves
• High frequency limit for gravitational perturbations of cosmological models in modified gravity theories
• Cosmological models and stability
• Averaging in cosmological models
• Applications of the Hawking Energy in Inhomogeneous Cosmology
• A Scale-Dependent Distance Functional between Past Light Cones in Cosmology
• Characterising Dark Energy through supernovae
• Classical, quantum, and phenomenological aspects of dark energy models
• Towards physical cosmology: geometrical interpretation of Dark Energy, Dark Matter and Inflation without fundamental sources
• A note about the back-reaction of inhomogeneities on the expansion of the Universe
• The perturbed FLRW metric on all scales: Newtonian limit and top-hat collapse
• How Dark is Dark Energy? A Lightcones Comparison Approach