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Classical electromagnetic potential as a part of gravitational connection: ideas and history
General Relativity and Quantum Cosmology · Submitted 7 Sep 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The certain components of connection in the appearing theory can be naturally identified with electromagnetic potential, and with the proper choice of action the Einstein-Maxwell equations are reproducing.
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The abstract, sentence by sentence
We consider a natural form of unified theory of gravity and electromagnetism which was somehow missed at the time of intense search for such an unification, and was noticed only in 1978 but remained quite unknown. The basic idea of this unification is to use the metric and non-symmetric connection as independent variables, which generalizes the so-called Palatini formalism. The certain components of connection in the appearing theory can be naturally identified with electromagnetic potential, and with the proper choice of action the Einstein-Maxwell equations are reproducing. In this paper we compare such an approach with the known ideas of unification. Also we propose the more consistent way of including matter (in the form of classical particles) in the theory and briefly discuss the perspectives of further development of this approach.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider a natural form of unified theory of gravity and electromagnetism which was somehow missed at the time of intense search for such an unification, and was noticed only in 1978 but remained quite unknown. | gap 0.59 | 0.11 | 0.10 | asserted 0.97 |
| s1 | The basic idea of this unification is to use the metric and non-symmetric connection as independent variables, which generalizes the so-called Palatini formalism. | method 0.68 | 0.19 | 0.08 | asserted 1.00 |
| s2 | The certain components of connection in the appearing theory can be naturally identified with electromagnetic potential, and with the proper choice of action the Einstein-Maxwell equations are reproducing. | result 0.46 | 0.45 | 0.45 | asserted 0.89 |
| s3 | In this paper we compare such an approach with the known ideas of unification. | contribution 0.96 | 0.76 | 0.05 | asserted 0.77 |
| s4 | Also we propose the more consistent way of including matter (in the form of classical particles) in the theory and briefly discuss the perspectives of further development of this approach. | contribution 0.89 | 0.83 | 0.11 | asserted 0.95 |
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The paper
Original abstract
We consider a natural form of unified theory of gravity and electromagnetism which was somehow missed at the time of intense search for such an unification, and was noticed only in 1978 but remained quite unknown. The basic idea of this unification is to use the metric and non-symmetric connection as independent variables, which generalizes the so-called Palatini formalism. The certain components of connection in the appearing theory can be naturally identified with electromagnetic potential, and with the proper choice of action the Einstein-Maxwell equations are reproducing. In this paper we compare such an approach with the known ideas of unification. Also we propose the more consistent way of including matter (in the form of classical particles) in the theory and briefly discuss the perspectives of further development of this approach.
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How the literature uses it
3 arXiv papers cite this in 6 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 1 paper
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Despite the simplicity of the above theory, is had not been discovered at the times of the most intense search of unified field theory (for the detailed historical survey see [ref] and the references therein).
Description of gravity in the model with independent nonsymmetric connection · Discussion · 0.98
What it cites · 3 sentences without a confident label
Cites as background 5 papers
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The efforts of researchers working on such an approach were mainly concentrated on the complexification of the connection to provide its interaction to the matter fields (see [ref] , [ref] and the references therein).
Geometric Interpretation of Electromagnetism in a Gravitational Theory with Space--Time Torsion · Conclusion · 0.86
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The efforts of researchers working on such an approach were mainly concentrated on the complexification of the connection to provide its interaction to the matter fields (see [ref] , [ref] and the references therein).
Geometric Interpretation of Electromagnetism in a Gravitational Theory with Torsion and Spinorial Matter · Conclusion · 0.86
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In many cases for the introduction of such structures one need to extend the formalism or even the physical essence of GR, e. g., for the introduction of an orthogonal frame [ref] or an isometric embedding [ref] .
Canonical formulation of the embedded theory of gravity equivalent to Einstein's General Relativity · Introduction · 0.94
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