Volume 141, Number 3, February 2023
|Number of page(s)||6|
|Section||Gravitation, cosmology and astrophysics|
|Published online||03 February 2023|
Conserved currents for the gauge-field theory with Lorentz symmetry group and a composite theory of gravity
ETH Zürich, Department of Materials - CH-8093 Zürich, Switzerland
(a) E-mail: email@example.com (corresponding author)
Received: 23 November 2022
Accepted: 25 January 2023
For the Yang-Mills–type gauge-field theory with Lorentz symmetry group, we propose and verify an explicit expression for the conserved currents in terms of the energy-momentum tensor. A crucial ingredient is the assumption that the gauge symmetry arises from the decomposition of a metric in terms of tetrad variables. The currents exist under the weak condition that the energy-momentum tensor and the Ricci tensor commute. We show how the conserved currents can be used to obtain a composite theory of gravity and discuss the static isotropic field around a point mass at rest.
© 2023 The author(s)
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