Relativistic particles with torsion in three-dimensional non-vacuum spacetimes
- 1 June 2021
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 62 (6), 062502
- https://doi.org/10.1063/5.0041384
Abstract
In this paper, we analyze trajectories of spacelike curves that are critical points of a Lagrangian depending on its total torsion. We focus on two important families of spacetimes, generalized Robertson–Walker and standard static spacetimes. For the former, we show that such trajectories are those with a constant curvature. For the latter, we also obtain a characterization in terms of the curvature of the trajectory but in this case measured with an appropriate conformal metric.Funding Information
- Ministerio de Economía, Industria y Competitividad, Gobierno de España (MTM2016-78807-C2-1-P, MTM2016-78807-C2-2-P)
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