Sumanto Chanda, Partha Guha
Published 2017-06-06Version 1
The relativistic Lagrangian in presence of potentials has been formulated directly from the metric to produce covariant equations of motion. Here, we study and compare the formulation to the conventional ad-hoc version formulation under some non-relativistic approximations. We will also briefly analyze the relativistic Li\'enard oscillator and the spacetime it implies.
Geometrical formulation for adjoint-symmetries of partial differential equations
The relativistic mechanics in a nonholonomic setting: A unified approach to particles with non-zero mass and massless particles
Relativistic mechanics in a general setting
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