Cited by 133Cosmology and Gravitation TheoriesAdvanced Differential Geometry ResearchGalaxies: Formation, Evolution, Phenomena

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Cosmologies of Bianchi Type i with a Uniform Magnetic Field

Jacobs, Kenneth C.·1969·The Astrophysical Journal

DOI 10.1086/149875

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Abstract

An analysis is presented of the effects of a uniform, primordial magnetic field upon spatially homogene- ous cosmological models with the anisotropic, Euclidean metric ds2 = d12 - A2(t)dx2 - B2(t)dy2 - W2(t)dz2. The stress-energy tensor consists of perfect-fluid matter with the equation of state PM = 7PM (0 «= y «= 1) and a uniform magnetic field of energy density PB Analytical solutions are obtained for four subcases, and all remaining cases are studied by numerical integration. Axisymmetric solutions (A = B) always emerge from point or pancake singularities, while non-axisymmetric solutions (A != B) always emerge from initial cigar or barrel singularities. The solutions are used in a cursory examination of the effects of a primordial magnetic field upon (a) the temperature isotropy of the observed 30 K cosmic microwave radiation, (b) the time when expansion anisotropies become small, and (c) primordial element formation

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Authors: Jacobs, K. C.
Corresponding author: Jacobs, Kenneth C.
Venue: The Astrophysical Journal
Publisher: American Astronomical Society
Published: 1969-02
Volume: 155
Pages: 379
ISSN: 0004-637X (ISSN-L)
1538-4357
DOI: 10.1086/149875
OpenAlex: W2007557354
Semantic Scholar: 6b7a231a2a46dfd7fcdeb11b493d2de63c222054
Cited by: 133
References: 0
Citations by year: 2026: 2 · 2025: 1 · 2024: 6 · 2023: 3 · 2021: 2 · 2020: 1 · 2019: 2 · 2018: 2 · 2017: 4 · 2016: 7 · 2015: 3 · 2014: 4 · 2013: 1 · 2012: 1
FWCI: 3.65
Type: journal article
Language: en
Open access: closed
Locations: The Astrophysical Journal (publishedVersion)
Topics: Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
Keywords: Bianchi type I cosmology, primordial magnetic fields, anisotropic cosmology, perfect fluid, axisymmetric solutions, singularity formation, big bang nucleosynthesis

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Cosmologies of Bianchi Type i with a Uniform Magnetic Field

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