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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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Letelier, P. S. (1983) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.28.2414 · Cited by 371
Kandus, A., Kunze, K. E., & Tsagas, C. G. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.03.001 · Cited by 378
Einstein's General Theory of Relativity
Grøn, Ø. G., & Hervik, S. (2007) · Springer eBooks · doi:10.1007/978-0-387-69200-5 · Cited by 324
Constraints on a Primordial Magnetic Field
Barrow, J. D., Ferreira, P. G., & Silk, J. I. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.3610 · Cited by 316
Anisotropy damping through quantum effects in the early universe
Hu, B. L., & Parker, L. (1978) · Physical Review D · doi:10.1103/physrevd.17.933 · Cited by 243
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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- CoChat. (2026). Citation check: Cosmologies of Bianchi Type i with a Uniform Magnetic Field. https://app.cochat.ai/papers/10.1086/149875
- The paper
- Jacobs, K. C. (1969). Cosmologies of Bianchi Type i with a Uniform Magnetic Field. The Astrophysical Journal. https://doi.org/10.1086/149875