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Cited by 296

The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.

On Average Properties of Inhomogeneous Fluids in General Relativity: Perfect Fluid Cosmologies

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Buchert, Thomas·2001·General Relativity and Gravitation
DOI 10.1023/a:1012061725841
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Abstract

For general relativistic spacetimes filled with an irrotational perfect fluid a generalized form of Friedmann's equations governing the expansion factor of spatially averaged portions of inhomogeneous cosmologies is derived. The averaging problem for scalar quantities is condensed into the problem of finding an "effective equation of state" including kinematical as well as dynamical "backreaction" terms that measure the departure from a standard FLRW cosmology. Applications of the averaged models are outlined including radiation-dominated and scalar field cosmologies (inflationary and dilaton/string cosmologies). In particular, the averaged equations show that the averaged scalar curvature must generically change in the course of structure formation, that an averaged inhomogeneous radiation cosmos does not follow the evolution of the standard homogeneous-isotropic model, and that an averaged inhomogeneous perfect fluid features kinematical "backreaction" terms that, in some cases, act like a free scalar field source. The free scalar field (dilaton) itself, modelled by a "stiff" fluid, is singled out as a special inhomogeneous case where the averaged equations assume a simple form.

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Metadata

Authors
Buchert, T.
Venue
General Relativity and Gravitation
Publisher
Springer Science and Business Media LLC
Published
2001-08
Volume
33
Issue
8
Pages
1381-1405
ISSN
  • 0001-7701 (ISSN-L)
  • 1572-9532
DOI
10.1023/a:1012061725841
OpenAlex
W1680879709
Cited by
296
References
10
FWCI
1.63
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: On Average Properties of Inhomogeneous Fluids in General Relativity: Perfect Fluid Cosmologies. https://app.cochat.ai/papers/10.1023/a:1012061725841
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Buchert, T. (2001). On Average Properties of Inhomogeneous Fluids in General Relativity: Perfect Fluid Cosmologies. General Relativity and Gravitation. https://doi.org/10.1023/a%3A1012061725841

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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