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Bagheri, Samae: Light in the inhomogeneous Universe: studies on light propagation in the averaged space-time. 2014
Inhalt
Abstract
Introduction
History of the Universe
The metric
The geodesic equation
Christoffel symbol
Particles traveling in an expanding Universe
Redshift
The Einstein equations
Energy momentum tensor
Friedmann-Lemaître cosmology
The cosmological principle
Friedmann equations in a flat Universe
General RW metric and general Friedmann equations
Dynamics of the FL Universe
Evolution of the scale factor
Inflation
Time and distance
Luminosity distance
Angular diameter distance
Large Scale Structure Formation
Perturbation from homogeneity
Evolution of perturbation
Structure formation
Statistic of random fields
Random fields in 3D Euclidean space
Gaussian random fields
Random fields on the sphere
CMB anisotropies
CMB observations from Planck
Pre-Planck CMB experiments
The Planck mission
CMB maps
CMB spectra and likelihood
CMB lensing spectrum
The cosmological consequences
Experiments on large scale homogeneity
Averaging Problem in Cosmology
Introduction
The averaging problem
History of the averaging problem
Kinematics of scalar averaging
Dynamics of scalar averaging
Averaging procedure
Buchert equations
Integrability condition
Cosmological parameters
Arguments on perturbations
Mimicking dark energy by backreaction
Scalar averaging based on mass weighted average method
The local scale factor
Evolution of the local scale factor
Zalaletdinov's macroscopic gravity
Introduction
The averaging operator
The averaged manifold
The averaged Einstein equations
Macroscopic FL solutions
Observational constraints
Effects of Inhomogeneity on the Propagation of Light
Light propagation in an irrotational dust Universe
The redshift
The angular diameter distance
The light cone averaging procedure
Geodesic light cone coordinate
Luminosity-redshift relation
Propagation of light in Swiss-Cheese models
Propagation of light in an averaged space-time
Propagation of light through an averaged Universe
Estimation for the effective Hubble rate
Comparison to other results
Conclusion and Outlook
List of Abbreviations
List of Figures and Tables
Acknowledgements