Geometrical Formulation of Relativistic Mechanics

Autor:	Chanda, Sumanto, Guha, Partha
Rok vydání:	2017
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1142/S0219887818500627
Popis:	The relativistic Lagrangian in presence of potentials was formulated directly from the metric, with the classical Lagrangian shown embedded within it. Using it we formulated covariant equations of motion, a deformed Euler-Lagrange equation, and relativistic Hamiltonian mechanics. We also formulate a modified local Lorentz transformation, such that the metric at a point is invariant only under the transformation defined at that point, and derive the formulae for time-dilation, length contraction, and gravitational redshift. Then we compare our formulation under non-relativistic approximations to the conventional ad-hoc formulation, and we briefly analyze the relativistic Lienard oscillator and the spacetime it implies. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.01921 Zobrazit plný text záznamu View this record from Arxiv