Chapters
- Averaging in Newtonian Cosmology
- Averaging in Relativistic Cosmology
Abstract
In
this course we address the averaging problem both in Newtonian
Cosmology and in Relativistic Cosmology. We introduce in each theory the basic equations and propose to
spatially average the scalar parts of the general equations without
further restricting the problem. The result are effective cosmological
equations that are discussed with respect to a number of aspects:
- Non-commutativity of averaging and time-evolution
- Backreaction
terms
- Integral properties of Newtonian models and their relation to morphological measures
- Newton’s iron sphere
theorem
- The architecture of numerical simulations in cosmology
- Coupling of matter inhomogeneities to intrinsic curvature in
relativistic models
- Relations to information theoretical
measures
- Relation to scalar field theories
- Global
gravitational instability and far-from-equilibrium state equations
- Cosmological principles and the global topology of the Universe
- Examples of averaged inhomogeneous cosmologies and comparison with the
standard model of cosmology
- Dark Energy and Dark Matter problems
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Bibliography
- Articles
- "Dark Energy from
Structure: A Status Report"
Thomas
Buchert. Gen.
Rel. Grav. 40: 467-527, 2008. e–Print: arXiv:0707.2153
- "Toward physical
cosmology: focus on inhomogeneous geometry and its non-perturbative
effects"
Thomas
Buchert. Class.
Quant. Grav. 28: 164007, 2011. e–Print: arXiv:1103.2016
- "Backreaction in
late–time cosmology"
Thomas
Buchert, Syksy Rasanen. Ann. Rev. Nucl. & Part. Phys. 62: 57, 2012.
e–Print: arXiv:1112.5335
- "Inhomogeneity effects
in cosmology"
George
F R Ellis. Class. Quant. Grav. 28, 164001 (2011). e–print:
arXiv:1103.2335
- "Does the growth of
structure affect our dynamical models of the Universe? The averaging,
backreaction, and fitting problems in cosmology"
Chris
Clarkson, George Ellis, Julien Larena, Obinna Umeh. Rep. Prog. Phys.
74, 112901 (2011). e–print: arXiv:1109.2314
- Lecture
Notes can be uploaded here
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