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Cosmologies of Bianchi Type i with a Uniform Magnetic Field
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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Items 101–132 of 132
Anisotropic nonsingular quantum bounce as a seesaw and amplification mechanism for magnetic fields
Motaharfar, M., & Singh, P. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.110.086020 · Cited by 3
“[87]) where ± denotes the expanding (contracting) branches when the mean scale factor reaches a max1 .”
BackgroundRelic vector field and CMB large scale anomalies
Chen, X., & Wang, Y. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/10/027 · Cited by 3
GRAVITOMAGNETIC INSTABILITIES IN ANISOTROPICALLY EXPANDING FLUIDS
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Magnetohydrodynamics and Plasma Cosmology
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The Lepton Brusselator: Creation of structure in the early universe
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“This has been dealt with in the works of Jacobs [9, 10 ] and more recently in those of Belinsky and Khalatnikov [2], Caderni [3], Caderni and Fabbri [4, 5], and Lorenz [12].”
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“This excludes all analytical solutions found in [28].”
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“We may mention the following few examples of those models [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22].”
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“A considerable body of work has explored BI cosmologies from various perspectives [34, 45–57].”
Metadata
- 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
- 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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