2 papers
math-ph2023
Generalized Lie Symmetries and Almost Regular Lagrangians: A Link Between Symmetry and Dynamics
Achilles D. Speliotopoulos
The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the evolution of dynamical systems is determined. It is found that if the action has a…
gr-qc2022
Dark Energy and Extending the Geodesic Equations of Motion: A Spectrum of Galactic Rotation Curves
Achilles D. Speliotopoulos
A recently proposed extension of the geodesic equations of motion, where the worldline traced by a test particle now depends on the scalar curvature, is used to study the formation…