Cosmology and particle pair production via gravitational spin-spin interaction in the Einstein-Cartan-Sciama-Kibble theory of gravity
Abstract
General relativity with spin and torsion [the Einstein-Cartan-Sciama-Kibble (ECSK) theory] provides a more complete account of local gauge invariance with respect to the Poincar\'e group than is possible in Einstein's general relativity. The ECSK theory introduces a new gravitational spin-spin contact interaction which is here shown to be repulsive between Dirac particles whose spins are aligned and attractive when spins are opposed. The presence of a Dirac field as source for the torsion causes a positive "effective mass" term in the energy condition of the generalized singularity theorem for this theory. The spin-spin interaction enhances rather than opposes singularity formation, in contrast with previous results for a convective spinning dust distribution. The strength of the interaction depends on number density, and for electron densities in excess of $\overline{\ensuremath{\rho}}\ensuremath{\simeq}{10}^{47}$ g${\mathrm{cm}}^{\ensuremath{-}3}$, can cause particle pair production.
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- Authors
- Kerlick, G. D.
- Affiliations
- Princeton University (US)
- Corresponding author
- Kerlick, G. David
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1975-11-15
- Volume
- 12
- Issue
- 10
- Pages
- 3004-3006
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2069111014
- Cited by
- 85
- References
- 20
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 2 · 2023: 2 · 2022: 2 · 2021: 2 · 2020: 3 · 2019: 2 · 2018: 2 · 2017: 3 · 2016: 1 · 2015: 2 · 2014: 4 · 2013: 1 · 2012: 3
- FWCI
- 5.30
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- Einstein-Cartan theory, torsion, spin-spin coupling, Dirac field, singularity theorems, effective mass, electron density
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