Jacobi-Maupertuis-Eisenhart metric and geodesic flows
Mathematical Physics
2017-04-11 v2 General Relativity and Quantum Cosmology
math.MP
Abstract
The Jacobi metric derived from the line element by one of the authors is shown to reduce to the standard formulation in the non-relativistic approximation. We obtain the Jacobi metric for various stationary metrics. Finally, the Jacobi-Maupertuis metric is formulated for time-dependent metrics by including the Eisenhart-Duval lift, known as the Jacobi-Eisenhart metric.
Keywords
Cite
@article{arxiv.1612.00375,
title = {Jacobi-Maupertuis-Eisenhart metric and geodesic flows},
author = {Sumanto Chanda and G. W. Gibbons and Partha Guha},
journal= {arXiv preprint arXiv:1612.00375},
year = {2017}
}
Comments
22 pages