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On Average Properties of Inhomogeneous Fluids in General Relativity: Dust Cosmologies
Open accessAbstract
For general relativistic spacetimes filled with irrotational ‘dust’ a generalized form of Friedmann's equations for an ‘effective’ expansion factor aD of inhomogeneous cosmologies is derived. Contrary to the standard Friedmann equations, which hold for homogeneous-isotropic cosmologies, the new equations include the ‘backreaction effect’ of inhomogeneities on the average expansion of the model. A universal relation between ‘backreaction’ and average scalar curvature is also given. For cosmologies whose averaged spatial scalar curvature is proportional to aD-2, the expansion law governing a generic domain can be found. However, as the general equations show, ‘backreaction’ acts as to produce average curvature in the course of structure formation, even when starting with space sections that are spatially flat on average.
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Cites
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Self-citationRenormalization group approach to relativistic cosmology
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In the realm of the Hubble tension—a review of solutions *
Di Valentino, E., Mena, O., Pan, S., Visinelli, L., Yang, W., Melchiorri, A., Mota, D. F., Riess, A. G., & Silk, J. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac086d · Cited by 2,065
Cosmology and fundamental physics with the Euclid satellite
The Euclid Theory Working Group, Amendola, L., Appleby, S., Avgoustidis, A., Bacon, D., Baker, T., Baldi, M., Bartolo, N., Blanchard, A., Bonvin, C., et al. (2018) · Living Reviews in Relativity · doi:10.1007/s41114-017-0010-3 · Cited by 1,009
Cosmology and Fundamental Physics with the Euclid Satellite
The Euclid Theory Working Group, Amendola, L., Appleby, S., Bacon, D., Baker, T., Baldi, M., Bartolo, N., Blanchard, A., Bonvin, C., Borgani, S., et al. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-6 · Cited by 899
Dark Energy from structure: a status report
Buchert, T. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-007-0554-8 · Cited by 388
Self-citationPadmanabhan, T. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-007-0555-7 · Cited by 338
Metadata
- Authors
- Buchert, T.
- Venue
- General Relativity and Gravitation
- Published
- 2000-01
- Volume
- 32
- Issue
- 1
- Pages
- 105-125
- ISSN
- 0001-7701 (ISSN-L)
- 1572-9532
- OpenAlex
- W1852681284
- Cited by
- 537
- References
- 10
- FWCI
- 2.22
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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