Spinning Test Particles in Spacetime with Torsion
Open accessAbstract
We use the Fock-Papapetrou method to derive equations of motion for a spinning test particle moving both in the background gravitational field and a torsion field. The resultant two equations, the equations of world line and spin can be written in a covariant manner (as is the same for Papapetrou's result in general relativity). The equation of spin reproduces all the known equations of spin precession due to torsion.
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Without cosmic acceleration, anisotropy in a closed Kantowski-Sachs universe would be increasing.
“Without cosmic acceleration, anisotropy in a closed KS universe would be increasing [37].”
From A nonsingular, anisotropic universe in a black hole with torsion and particle production (2021) · cites this paper as [37]
The supplied passages and searches for Kantowski–Sachs anisotropy and cosmic acceleration found discussion of spinning test particles and spacetime torsion, not the evolution of a closed Kantowski–Sachs universe. No passage in our copy addresses whether anisotropy would increase without cosmic acceleration. (LLM, conf=0.76)
Experimental — accuracy not yet measuredIsotropization would last during inflation, after which it would end and the anisotropy of the universe would grow again during the radiation-dominated era and the matter-dominated era.
“Isotropization would last during inflation, after which it would end and the anisotropy of the universe would grow again during the radiation-dominated era and the matter-dominated era [37].”
From A nonsingular, anisotropic universe in a black hole with torsion and particle production (2021) · cites this paper as [37]
The passages on spinning particles and torsion, including §3.2 (page not supplied), discuss spin currents and equations of motion, not cosmological evolution. Searches for isotropization, inflation, and anisotropy during the radiation- and matter-dominated eras found no passage addressing the claim. (LLM, conf=0.76)
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Research works printed but not linked: 12
- V. A. Fock, J. Phys. U.S.S.R. 1 (1939), 81.
- A. Papapetrou, Proc. Roy. Soc. London A209 (1951), 248.
- E. Corinaldesi and A. Papapetrou, Proc. Roy. Soc. London A209 (1951), 259.
- T. W. B. Kibble, J. Math. Phys. 2 (1961), 212.
- K. Hayashi and A. Bregman, Ann. of Phys. 75 (1973), 562.
- F. W. Hehl, P. von der Heyde, G. D. Kerlick and J. M. Nester, Rev. Mod. Phys. 48 (1976), 393.
- K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 866, 883; 65 (1981), 525.
- K. Hayashi, K. Nomura and T. Shirafuji, Prog. Theor. Phys. 84 (1990), 1085.
- W. Adamowicz and A. Trautman, BulL Acad. Polon. Sci., Ser. Sci. Math., Astr. Phys. 20 (1975), 339.
- J. Weyssenhoff and A. Raabe, Acta Phys. Polon. 9 (1947), 7.
- F. A. E. Pjrani, Acta Phys.Polon. 15 (1956), 389.
- W. Tulczyjew, Acta Phys. Polon. 18 (1959), 393.
Cited by
Sorted by citations
Cosmology with torsion: An alternative to cosmic inflation
Popławski, N. J. (2010) · Physics Letters B · doi:10.1016/j.physletb.2010.09.056 · Cited by 205 · see citing works
UNIVERSE IN A BLACK HOLE IN EINSTEIN–CARTAN GRAVITY
Popławski, N. (2016) · The Astrophysical Journal · doi:10.3847/0004-637x/832/2/96 · Cited by 91 · see citing works
A nonsingular, anisotropic universe in a black hole with torsion and particle production
Popławski, N. J. (2021) · General Relativity and Gravitation · doi:10.1007/s10714-021-02790-7 · Cited by 12 · see citing works
- Authors
- Nomura, K., Shirafuji, T., & Hayashi, K.
- Affiliations
- Saitama University (JP)
- Kitasato University (JP)
- ORCID
- Hayashi, K.
- Venue
- Progress of Theoretical Physics
- Publisher
- Oxford University Press (OUP)
- Published
- 1991-12-01
- Volume
- 86
- Issue
- 6
- Pages
- 1239-1258
- ISSN
- 0033-068X (ISSN-L)
- 1347-4081
- OpenAlex
- W2164493163
- Cited by
- 50
- References
- 0
- Citations by year
- 2025: 1 · 2024: 2 · 2023: 1 · 2022: 1 · 2021: 3 · 2020: 4 · 2019: 8 · 2018: 1 · 2017: 2 · 2016: 2 · 2014: 1 · 2013: 3 · 2012: 3
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Progress of Theoretical Physics (publishedVersion)
- HighWire Press Open Archive (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
- spinning test particles, torsion, equations of motion, spin precession, covariant equations, torsion field
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