The Lagrangians L1 = -mc sqrt(-g dot x dot x) - V and L2 = (1/2)m g dot x dot x - V are equivalent only for V=0 or electromagnetic V; otherwise L1 enforces mass shell while L2 does not, leading to chaotic vs integrable dynamics in toy models.
Rahvar, Hamiltonian formalism for dynamics of parti- cles in MOG, Monthly Notices of the Royal Astronomical Society514, 4601-4605 (2022)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Discussion on the equivalence of two relativistic point-particle Lagrangians
The Lagrangians L1 = -mc sqrt(-g dot x dot x) - V and L2 = (1/2)m g dot x dot x - V are equivalent only for V=0 or electromagnetic V; otherwise L1 enforces mass shell while L2 does not, leading to chaotic vs integrable dynamics in toy models.