Relativistic particles with torsion in three-dimensional non-vacuum spacetimes
Author
Herrera, Jónatan
Rosa, M. de la
Rubio, Rafael
Publisher
American Institute of PhysicsDate
2021Subject
Spacelike curvesStationary spacetime
Lagrangians
Relativistic particles
Geodesic trajectory
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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.