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  Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?

Buchert, T., Carfora, M., Ellis, G. F. R., Kolb, E. W., MacCallum, M. A. H., Ostrowski, J. J., et al. (2015). Is there proof that backreaction of inhomogeneities is irrelevant in cosmology? Classical and quantum gravity, 32(21): 215021. doi:10.1088/0264-9381/32/21/215021.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A86D-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0372-1
Genre: Journal Article

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1505.07800.pdf (Preprint), 463KB
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Buchert, T., Author
Carfora, M., Author
Ellis, G. F. R., Author
Kolb, E. W., Author
MacCallum, M. A. H., Author
Ostrowski, J. J., Author
Räsänen, S., Author
Roukema, B. F., Author
Andersson, L.1, Author              
Coley, A. A., Author
Wiltshire, D. L., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO,High Energy Physics - Theory, hep-th
 Abstract: No. In a number of papers Green and Wald argue that the standard FLRW model approximates our Universe extremely well on all scales, except in the immediate vicinity of very strong field astrophysical objects. In particular, they argue that the effect of inhomogeneities on average properties of the Universe (backreaction) is irrelevant. We show that their claims are not valid. Specifically, we demonstrate, referring to their recent review paper, that (i) their two-dimensional example used to illustrate the fitting problem differs from the actual problem in important respects, and it assumes what is to be proven; (ii) the proof of the trace-free property of backreaction is unphysical and the theorem about it is mathematically flawed; (iii) the scheme that underlies the trace-free theorem does not involve averaging and therefore does not capture crucial non-local effects; (iv) their arguments are to a large extent coordinate-dependent, and (v) many of their criticisms of backreaction frameworks do not apply to the published definitions of these frameworks.

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 Dates: 2015-05-282015
 Publication Status: Published in print
 Pages: 40 pages. arXiv admin note: text overlap with arXiv:1407.8084 by other authors
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 Identifiers: arXiv: 1505.07800
DOI: 10.1088/0264-9381/32/21/215021
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 32 (21) Sequence Number: 215021 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1