2 papers
gr-qc2026
Frenet-Serret equations with variable proper acceleration in Minkowski spacetime
Ivan Perez-Roman, Michael R. R. Good, Yen Chin Ong +1
We study Frenet-Serret equations for timelike worldlines in Minkowski spacetime with proper-time-dependent curvature and torsion. This corresponds to relativistic motion with non-u…
math-ph2026
Clothoid helices obtained via the Lie-Darboux method
H. C. Rosu, J. de la Cruz, P. Lemus-Basilio
The clothoid helices that have both curvature and torsion directly proportional to the arclength are obtained via the Lie-Darboux method and analyzed in some detail. Shifted counte…