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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Geometrical formulation of relativistic mechanics

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Author(s):
Chanda, Sumanto [1] ; Guha, Partha [2, 3, 1]
Total Authors: 2
Affiliation:
[1] Satyendra Nath Bose Natl Ctr Basic Sci, Dept Theoret Sci, JD Block, Sect 3, Kolkata 700098 - India
[2] Univ Sao Paulo, Inst Fis Sao Carlos, Caixa Postal 369, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Sao Paulo, IFSC USP, Caixa Postal 369, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS; v. 15, n. 4 APR 2018.
Web of Science Citations: 0
Abstract

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. (AU)

FAPESP's process: 16/06560-6 - Nonlinear dynamics and gravity
Grantee:Betti Hartmann
Support type: Research Grants - Visiting Researcher Grant - International