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Cited by 248Relativity and Gravitational TheoryAdvanced Differential Geometry ResearchNoncommutative and Quantum Gravity Theories

Nonlinear Spinor Equation and Asymmetric Connection in General Relativity

Hehl, F. W., Datta, B. K.·1971·Journal of Mathematical Physics
DOI 10.1063/1.1665738
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Abstract

In order to take full account of spin in general relativity, it is necessary to consider space-time as a metric space with torsion, as was shown elsewhere. We treat a Dirac particle in such a space. The generalized Dirac equation turns out to be of a Heisenberg-Pauli type. The nonlinear terms induced by torsion express a universal spin-spin interaction of range zero.

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  • The collapsing matter undergoes a nonsingular bounce and then expands as a new, closed universe whose total energy is zero.

    “Instead, the collapsing matter undergoes a nonsingular bounce [21] and then expands as a new, closed universe [4,5,22] whose total energy is zero [23].”

    From A nonsingular, anisotropic universe in a black hole with torsion and particle production (2021) · cites this paper as [23]

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Authors
Hehl, F. W., & Datta, B. K.
Affiliations
Clausthal University of Technology (DE)
ORCID
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1971-07-01
Volume
12
Issue
7
Pages
1334-1339
ISSN
  • 0022-2488 (ISSN-L)
  • 1089-7658
DOI
10.1063/1.1665738
OpenAlex
W1995832404
Cited by
248
References
0
Citations by year
2026: 8 · 2025: 8 · 2024: 12 · 2023: 8 · 2022: 8 · 2021: 11 · 2020: 15 · 2019: 10 · 2018: 10 · 2017: 8 · 2016: 11 · 2015: 2 · 2014: 7 · 2013: 12 · 2012: 7
FWCI
3.54
Type
journal article
Language
en
Open access
closed
Locations
Journal of Mathematical Physics (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
asymmetric connections, torsion, Dirac equation, spin-spin coupling, Dirac particles

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