Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect

DOI10.1063/1.5098869zbMath1496.83004arXiv1903.11805OpenAlexW3101501178MaRDI QIDQ5218767

Paolo Maraner, Partha Guha, Sumanto Chanda, Marcus C. Werner, Gary W. Gibbons

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11805

zbMATH Keywords

stationary spacetimesJacobi metricstimelike and null geodesicsJacobi-Maupertuis type variational principleMaxwell's equations in curved spacetimeRanders-Finsler metricTaub-NUT and Kerr spacetimes

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Equations of motion in general relativity and gravitational theory (83C10) Local Riemannian geometry (53B20) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (7)

Electromagnetic and gravitational interactions from Lagrangian mechanics ⋮ Deflection of charged massive particles by a four-dimensional charged Einstein–Gauss–Bonnet black hole ⋮ Null and timelike circular orbits from equivalent 2D metrics ⋮ Harmonic functions and gravity localization ⋮ Systems of second order differential equations as auto-parallel equations ⋮ Dynamics in wormhole spacetimes: a Jacobi metric approach ⋮ Generalized Gibbons-Werner method for stationary spacetimes

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