TY - JOUR

T1 - Classical Electromagnetic Potential as a Part of Gravitational Connection: Ideas and History

AU - Харук, Наталья Вячеславовна

AU - Пастон, Сергей Александрович

AU - Шейкин, Антон Андреевич

PY - 2018/7

Y1 - 2018/7

N2 - We consider a natural form of a unified theory of gravity and electromagnetism which was somehow missed at the time of intense search for such a unification. The basic idea of this unification is to use the symmetric metric and a non-symmetric connection as independent variables, which generalizes the so-called Palatini formalism. For the first time this idea was applied to the construction of the action for a unified theory of gravity and electromagnetism without matter only in 1978, but this result did not receive wide recognition. In this paper we propose a natural way to include matter in the form of classical particles into the unified theory. The trace of connection in the appearing theory can be naturally identified with the electromagnetic potential, and the Einstein-Maxwell equations with classical matter are reproduced. We compare this approach with the known ideas of unification and briefly discuss the perspectives of a further development of this approach.

AB - We consider a natural form of a unified theory of gravity and electromagnetism which was somehow missed at the time of intense search for such a unification. The basic idea of this unification is to use the symmetric metric and a non-symmetric connection as independent variables, which generalizes the so-called Palatini formalism. For the first time this idea was applied to the construction of the action for a unified theory of gravity and electromagnetism without matter only in 1978, but this result did not receive wide recognition. In this paper we propose a natural way to include matter in the form of classical particles into the unified theory. The trace of connection in the appearing theory can be naturally identified with the electromagnetic potential, and the Einstein-Maxwell equations with classical matter are reproduced. We compare this approach with the known ideas of unification and briefly discuss the perspectives of a further development of this approach.

KW - EINSTEIN

KW - EQUIVALENT

KW - FIELD-EQUATIONS

KW - FORMULATION

KW - GENERAL-RELATIVITY

KW - GEOMETRY

KW - GRAVITY

KW - INVARIANCE

UR - http://www.scopus.com/inward/record.url?scp=85052210221&partnerID=8YFLogxK

UR - http://arxiv.org/abs/1709.02284

UR - http://www.mendeley.com/research/classical-electromagnetic-potential-part-gravitational-connection-ideas-history

U2 - 10.1134/S0202289318030076

DO - 10.1134/S0202289318030076

M3 - Article

VL - 24

SP - 209

EP - 219

JO - Gravitation and Cosmology

JF - Gravitation and Cosmology

SN - 0202-2893

IS - 3

ER -