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Wiegand, Alexander: The inhomogeneous Universe : its average expansion and cosmic variance. 2012
Inhalt
Abstract
Introduction
The background evolution of the Universe
The Friedmann equations
The evolution history
The theory of structure formation
Methods for characterizing structure
Correlation functions
Minkowski functionals
Cosmological perturbation theory
First order perturbations
Gauges and evolution equations
Statistical nature of the perturbations
The origin of today's structure
The seeds of cosmic structure
Evolution in the radiation dominated era
Normalization to the CMB
The recent evolution
Structure in the observations
Recent observations
Cosmic microwave background inhomogeneities
Large scale structure surveys
Characterization of the structure in the SDSS
The luminous red galaxy data
The Minkowski functionals of luminous red galaxies
Deviations from Gaussianity
Backreaction of structure on the expansion of the Universe
Averaging in an inhomogeneous Universe
The Buchert Equations
Average evolution of inhomogeneous Universes
Lagrangian form of the Einstein equations
Coframe decomposition of Einsteins Equations
The relativistic Zel'dovich approximation
Backreaction in the RZA
Backreaction and curvature in terms of coframes
Newtonian limit and self consistency
The average evolution
RZA results in highly symmetric Universes
Amount of backreaction on different scales
Comparison to other quantitative estimations
Perturbative models
Non-perturbative models
The influence of structure on observations
Cosmic variance
The importance of local measurements
Ensemble variance of averaged observables
Fluctuations in the cosmic parameters
Inhomogeneous cosmic parameters
Relating cosmic parameter- and matter-fluctuations
Matter and curvature fluctuations
Influence of the survey geometry
Importance of curvature fluctuations
Hubble and geometry fluctuations
Inhomogeneity uncertainties in the Hubble scale
Fluctuations of the acoustic scale
Conclusion and Outlook
Bibliography
Window function calculation
Fourth order backreaction
List of abbreviations
List of symbols and list of figures
Danksagung
Eigenständigkeitserklärung