The Averaging Problem in Cosmology
arXiv:0906.3165
Abstract
This thesis deals with the averaging problem in cosmology, which has gained considerable interest in recent years, and is concerned with correction terms (after averaging inhomogeneities) that appear in the Einstein equations when working on the large scales appropriate for cosmology. It has been claimed in the literature that these terms may account for the phenomenon of dark energy which causes the late time universe to accelerate. We investigate the nature of these terms by using averaging schemes available in the literature and further developed to be applicable to the problem at hand. We show that the effect of these terms when calculated carefully, remains negligible and cannot explain the late time acceleration.
126 pages, PhD thesis; some typos fixed, one reference added
References in corpus (73)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
- Dark Energy and the Accelerating Universe
- A measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey
- Cosmic homogeneity demonstrated with luminous red galaxies
- An Imprint of Super-Structures on the Microwave Background due to the Integrated Sachs-Wolfe Effect
- An inhomogeneous alternative to dark energy?
- On cosmic acceleration without dark energy
- Voids in the PSCz Survey and the Updated Zwicky Catalog
- Cosmic clocks, cosmic variance and cosmic averages
- Voids in the 2dF Galaxy Redshift Survey
- Dark energy from backreaction
- A Local Void and the Accelerating Universe
- Exact solution to the averaging problem in cosmology
- The universe seen at different scales
- Time drift of cosmological redshifts as a test of the Copernican principle
- The effect of inhomogeneous expansion on the supernova observations
- A Test of the Copernican Principle
- Primordial power spectrum from WMAP
- "Swiss-Cheese" Inhomogeneous Cosmology & the Dark Energy Problem
- Testing backreaction effects with observations
- Cosmological parameters are dressed
- Can superhorizon cosmological perturbations explain the acceleration of the universe?
- Light-cone averages in a swiss-cheese universe
- Can we avoid dark energy?
- Nonlinear Structure Formation and "Apparent" Acceleration: an Investigation
- Regional averaging and scaling in relativistic cosmology
- Backreaction of inhomogeneities on the expansion: the evolution of cosmological parameters
- Scale dependence of cosmological backreaction
- Morphological fluctuations of large-scale structure: the PSCz survey
- Coarse-Grained Effective Action and Renormalization Group Theory in Semiclassical Gravity and Cosmology
- On the onset of cosmological backreaction
- Constraints on backreaction in dust universes
- Statistics of Voids in the 2dF Galaxy Redshift Survey
- Constraints on large scale inhomogeneities from WMAP-5 and SDSS: confrontation with recent observations
- Late-time Inhomogeneity and Acceleration Without Dark Energy
- On Minimally-Parametric Primordial Power Spectrum Reconstruction and the Evidence for a Red Tilt
- Can superhorizon perturbations drive the acceleration of the Universe?
- Gauge invariant averages for the cosmological backreaction
- Can Structure Formation Influence the Cosmological Evolution?
- A Renormalization Group Approach to Relativistic Cosmology
- Spatially averaged cosmology in an arbitrary coordinate system
- Cosmological Backreaction from Perturbations
- Averaging in Cosmology
- Cosmic Parallax: possibility of detecting anisotropic expansion of the universe by very accurate astrometry measurements
- 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
- Supernovae Ia observations in the Lemaitre--Tolman model
- Effects of Inhomogeneities on Cosmic Expansion
- LTB solutions in Newtonian gauge: from strong to weak fields
- Systematic corrections to the measured cosmological constant as a result of local inhomogeneity
- Primordial inflation explains why the universe is accelerating today
- LTB universes as alternatives to dark energy: does positive averaged acceleration imply positive cosmic acceleration?
- Non-homogeneity-driven Universe acceleration
- Gravitational energy and cosmic acceleration
- On spatial volume averaging in Lema\^ıtre--Tolman--Bondi dust models. Part I: back reaction, spacial curvature and binding energy
- Accelerating Universe via Spatial Averaging
- A rule of thumb for cosmological backreaction
- Averaging Einstein's Equations: The Linearized Case
- General K=-1 Friedman-Lemaître models and the averaging problem in cosmology
- Averaging anisotropic cosmologies
- Cosmological backreaction and spatially averaged spatial curvature
- Backreaction of superhorizon perturbations in scalar field cosmologies
- The spherical collapse model with shell crossing
- A back-reaction approach to dark energy
- Fractal Bubble Cosmology: A concordant cosmological model?
- The Rise of Big Bang Models, from Myth to Theory and Observations
- Null geodesics and observational cosmology
- Cosmological Observations: Averaging on the Null Cone
- Gravitational N-body Simulations
- Gravitational backreaction in cosmological spacetimes
- Structure formation and the origin of dark energy
- Bayesian analysis of the backreaction models
Cited by in corpus (16)
- Light propagation in statistically homogeneous and isotropic universes with general matter content
- Average expansion rate and light propagation in a cosmological Tardis spacetime
- Applicability of the linearly perturbed FRW metric and Newtonian cosmology
- Light propagation and the average expansion rate in near-FRW universes
- Gauges and Cosmological Backreaction
- Light propagation in inhomogeneous and anisotropic cosmologies
- Testing homogeneity in the Sloan Digital Sky Survey Data Release Twelve with Shannon entropy
- A method for testing the cosmic homogeneity with Shannon entropy
- Mori-Zwanzig formalism for general relativity: a new approach to the averaging problem
- Probing large scale homogeneity and periodicity in the LRG distribution using Shannon entropy
- Gif Lectures on Cosmic Acceleration
- Lightcone Averaging and Precision Cosmology
- Accelerating the Universe with Gravitational Waves
- Ricci Flow Approach to The Cosmological Constant Problem
- Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
- The effect of cosmic inhomogeneities on the average cosmological dynamics