Massive propagating modes of torsion
- The dynamics of the torsion field is analyzed in the framework of the Covariant Canonical Gauge Theory of Gravity (CCGG), a De Donder–Weyl Hamiltonian formulation of gauge gravity. The action is quadratic in both, the torsion and the Riemann–Cartan tensor. Since the latter adds the derivative of torsion to the equations of motion, torsion is no longer identical to spin density, as in the Einstein–Cartan theory, but an additional propagating degree of freedom. As torsion turns out to be totally anti-symmetric, it can be parametrised via a single axial vector. It is shown in this paper that, in the weak torsion limit, the axial vector obeys a wave equation with an effective mass term which is partially dependent on the scalar curvature. The source of torsion is thereby given by the fermion axial current which is the net fermionic spin density of the system. Possible measurable effects and approaches to experimental analysis are addressed. For example, neutron star mergers could act as a dipoles or quadrupoles for torsional radiation, and an analysis of radiation of pulsars could lead to a detection of torsion wave background radiation.
Author: | Vladimir DenkORCiD, David VasakORCiD, Johannes Kirsch |
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URN: | urn:nbn:de:hebis:30:3-863560 |
DOI: | https://doi.org/10.1140/epjc/s10052-024-12930-3 |
ISSN: | 1434-6052 |
ArXiv Id: | http://arxiv.org/abs/2311.18602 |
Parent Title (English): | The European Physical Journal C |
Publisher: | Springer |
Place of publication: | Berlin |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2024/06/17 |
Date of first Publication: | 2024/06/17 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2024/07/19 |
Volume: | 84 |
Issue: | article number 613 |
Article Number: | 613 |
Page Number: | 11 |
Institutes: | Physik / Physik |
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS) | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - CC BY - Namensnennung 4.0 International |