| Issue |
EPL
Volume 141, Number 3, February 2023
|
|
|---|---|---|
| Article Number | 39001 | |
| Number of page(s) | 6 | |
| Section | Gravitation, cosmology and astrophysics | |
| DOI | https://doi.org/10.1209/0295-5075/acb60d | |
| 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: hco@mat.ethz.ch (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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