Description of gravity in the model with independent nonsymmetric connection

Результат исследований: Научные публикации в периодических изданияхстатьянаучнаярецензирование

1 цитирование (Scopus)

Выдержка

A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric. As a result of variation with respect to the metric Einstein equations are obtained. A variation with respect to the connection leads to an arbitrariness in the determination of connection, i.e. the presence of gauge invariance. Then a matter in a form of point particle which interacts with field of connection is introduced. Also the action is complemented by a kinetic term for field of the connection to avoid incompatible equation of motion. Thus after the variation procedures we obtain the Einstein equations, the geodesic equation and the Maxwell's equations for electromagnetism, where some components of the connection play the role of the electromagnetic potential. Thereby the electromagnetic potential is obtained from the geometry of space-time.

Язык оригиналаанглийский
Номер статьи05011
ЖурналEPJ Web of Conferences
Том158
DOI
СостояниеОпубликовано - 24 окт 2017

Отпечаток

Einstein equations
gravitation
electromagnetism
gauge invariance
Maxwell equation
relativity
equations of motion
formalism
kinetics
geometry

Предметные области Scopus

  • Физика и астрономия (все)

Цитировать

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abstract = "A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric. As a result of variation with respect to the metric Einstein equations are obtained. A variation with respect to the connection leads to an arbitrariness in the determination of connection, i.e. the presence of gauge invariance. Then a matter in a form of point particle which interacts with field of connection is introduced. Also the action is complemented by a kinetic term for field of the connection to avoid incompatible equation of motion. Thus after the variation procedures we obtain the Einstein equations, the geodesic equation and the Maxwell's equations for electromagnetism, where some components of the connection play the role of the electromagnetic potential. Thereby the electromagnetic potential is obtained from the geometry of space-time.",
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Description of gravity in the model with independent nonsymmetric connection. / Kharuk, N. V.; Paston, S. A.; Sheykin, A. A.

В: EPJ Web of Conferences, Том 158, 05011, 24.10.2017.

Результат исследований: Научные публикации в периодических изданияхстатьянаучнаярецензирование

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AB - A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric. As a result of variation with respect to the metric Einstein equations are obtained. A variation with respect to the connection leads to an arbitrariness in the determination of connection, i.e. the presence of gauge invariance. Then a matter in a form of point particle which interacts with field of connection is introduced. Also the action is complemented by a kinetic term for field of the connection to avoid incompatible equation of motion. Thus after the variation procedures we obtain the Einstein equations, the geodesic equation and the Maxwell's equations for electromagnetism, where some components of the connection play the role of the electromagnetic potential. Thereby the electromagnetic potential is obtained from the geometry of space-time.

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