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  Lagrangian theory of structure formation in relativistic cosmology II: average properties of a generic evolution model

Buchert, T., Nayet, C., & Wiegand, A. (2013). Lagrangian theory of structure formation in relativistic cosmology II: average properties of a generic evolution model. Physical Review D, 87: 123503. doi:10.1103/PhysRevD.87.123503.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-3DC3-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-3DC4-C
Genre: Journal Article

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 Creators:
Buchert, Thomas, Author
Nayet, Charly, Author
Wiegand, Alexander1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO
 Abstract: Kinematical and dynamical properties of a generic inhomogeneous cosmological model, spatially averaged with respect to free-falling (generalized fundamental) observers, are investigated for the matter model irrotational dust. Paraphrasing a previous Newtonian investigation, we present a relativistic generalization of a backreaction model based on volume-averaging the Relativistic Zeldovich Approximation. In this model we investigate the effect of kinematical backreaction on the evolution of cosmological parameters as they are defined in an averaged inhomogeneous cosmology, and we show that the backreaction model interpolates between orthogonal symmetry properties by covering subcases of the plane-symmetric solution, the Lemaitre-Tolman-Bondi solution and the Szekeres solution. We so obtain a powerful model that lays the foundations for quantitatively addressing curvature inhomogeneities as they would be interpreted as Dark Energy or Dark Matter in a quasi-Newtonian cosmology. The present model, having a limited architecture due to an assumed FLRW background, is nevertheless capable of replacing 1/4 of the needed amount for Dark Energy on domains of 200 Mpc in diameter for typical (one-sigma) fluctuations in a CDM initial power spectrum. However, the model is far from explaining Dark Energy on larger scales (spatially), where a 6% effect on 400 Mpc domains is identified that can be traced back to an on average negative intrinsic curvature today. One drawback of the quantitative results presented is the fact that the epoch when backreaction is effective on large scales and leads to volume acceleration lies in the future. We discuss this issue in relation to the initial spectrum, the Dark Matter problem, the coincidence problem, and the fact that large-scale Dark Energy is an effect on the past light cone (not spatial), and we pinpoint key elements of future research.

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 Dates: 2013-03-252013-06-112013
 Publication Status: Published in print
 Pages: 24 pages, 15 figures, matches published version in PRD
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1303.6193
DOI: 10.1103/PhysRevD.87.123503
URI: http://arxiv.org/abs/1303.6193
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 87 Sequence Number: 123503 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258