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More on jacobi metric: Randers–Finsler metrics, frame dragging and geometrisation techniques

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dc.contributor.author Chanda, Sumanto
dc.date.accessioned 2024-12-06T05:27:48Z
dc.date.available 2024-12-06T05:27:48Z
dc.date.issued 2024-11
dc.identifier.citation The European Physical Journal Plus, Vol. 139, No. 11, 983 en_US
dc.identifier.issn 2190-5444
dc.identifier.uri http://hdl.handle.net/2248/8604
dc.description Restricted Access en_US
dc.description The original publication is available at springerlink.com
dc.description.abstract In this article, I demonstrate a new method to derive Jacobi metrics from Randers–Finsler metrics by introducing a more generalised approach to Hamiltonian mechanics for such spacetimes and discuss the related applications and properties. I introduce Hamiltonian mechanics with the constraint for relativistic momentum, including a modification for null curves and two applications as exercises: derivation of a relativistic harmonic oscillator and analysis of Schwarzschild Randers–Finsler metric. Then I describe the main application for constraint mechanics in this article: a new derivation of Jacobi metric for time-like and null curves, comparing the latter with optical metrics. After that, I discuss frame dragging with the Jacobi metric and two applications for Randers–Finsler metrics: an alternative to Eisenhart lift, and different metrics that share the same Jacobi metric. en_US
dc.language.iso en en_US
dc.publisher Springer Nature en_US
dc.relation.uri https://doi.org/10.1140/epjp/s13360-024-05775-y
dc.rights © The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024
dc.title More on jacobi metric: Randers–Finsler metrics, frame dragging and geometrisation techniques en_US
dc.type Article en_US


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