Jacobi-Maupertuis-Eisenhart metric and geodesic flows

Sumanto Chanda, G. W. Gibbons, Partha Guha

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

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.

Original languageBritish English
Article number032503
JournalJournal of Mathematical Physics
Volume58
Issue number3
DOIs
StatePublished - 1 Mar 2017

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