| Full text | |
| Author(s): |
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 Opportunities: | Research Grants - Visiting Researcher Grant - International |