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Cited by 87Relativity and Gravitational TheoryCosmology and Gravitation TheoriesAdvanced Differential Geometry Research

Variational principles and spatially-homogeneous universes, including rotation

MacCallum, M. A. H., Taub, A. H.·1972·Communications in Mathematical Physics
DOI 10.1007/bf01877589
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Crossref · 10.1007/bf01877589

Cites

17 of 17 references verified0 citation errors · 0 not checkable

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  • Bianchi models describe all possible types of metrics which are homogeneous in space.

    “Bianchi models describe all possible types of metrics which are homogeneous in space [27].”

    From Loop quantum cosmology: I. Kinematics (2000) · cites this paper as [27]

  • Bianchi type I and IX can be constrained to isotropic metrics; the only other class A model for which this is possible is type VII0, which yields an isotropic model equivalent to type I.

    “Bianchi type I and IX can even be constrained to isotropic metrics, i.e.F ∼ = SU (2).(The only other class A model for which this is possible is type VII 0 .It yields, however, an isotropic model equivalent to that of type I [27].)”

    From Loop quantum cosmology: I. Kinematics (2000) · cites this paper as [27]

  • For LRS models n1=n2 (see [27]), non-zero when the diffeomorphism constraint is non-vanishing.

    “For LRS models we have n (1) = n (2) (see [27]), which is non-zero in the case of a non-vanishing diffeomorphism constraint.”

    From Loop quantum cosmology: I. Kinematics (2000) · cites this paper as [27]

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Related

Authors
MacCallum, M. A. H., & Taub, A. H.
Affiliations
University of California, Berkeley (US)
ORCID
MacCallum, M. A. H.
Venue
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Published
1972-09
Volume
25
Issue
3
Pages
173-189
ISSN
  • 0010-3616 (ISSN-L)
  • 1432-0916
DOI
10.1007/bf01877589
OpenAlex
W1999218847
Cited by
87
References
17
Citations by year
2025: 2 · 2024: 3 · 2023: 1 · 2022: 1 · 2021: 1 · 2020: 1 · 2019: 1 · 2016: 1 · 2013: 1
FWCI
4.25
Type
journal article
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)
Locations
  • Communications in Mathematical Physics (publishedVersion)
  • Project Euclid (Cornell University) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
Keywords
variational principle, spatially homogeneous cosmology, Einstein field equations, structure constants, rotating universe, Hamilton's principle

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