Jacobi-Maupertuis-Eisenhart metric and geodesic flows

DOI10.1063/1.4978333zbMath1362.83007arXiv1612.00375OpenAlexW2558307174MaRDI QIDQ2974643

Sumanto Chanda, Partha Guha, Gary W. Gibbons

Publication date: 10 April 2017

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

Full work available at URL: https://arxiv.org/abs/1612.00375

zbMATH Keywords

geodesic flowsJacobi metricJacobi-Maupertuis-Eisenhart metric

Mathematics Subject Classification ID

Black holes (83C57) Hamilton's equations (70H05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (10)

Constraints on charged symmergent black hole from shadow and lensing ⋮ The Jacobi metric approach for dynamical wormholes ⋮ Exponential decay of correlations functions in MIXMAX generator of pseudorandom numbers ⋮ Quantum geodesics in quantum mechanics ⋮ Geometrical formulation of relativistic mechanics ⋮ Jacobi–Maupertuis metric and Kepler equation ⋮ (compactified) black branes in four dimensional \(f(R)\)-gravity ⋮ Time-like geodesic structure for the emergent Barriola–Vilenkin type spacetime ⋮ Dynamics in wormhole spacetimes: a Jacobi metric approach ⋮ Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect

Cites Work

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• Conformal killing tensors and covariant Hamiltonian dynamics
• Time-optimal navigation through quantum wind
• Geodesics in Randers spaces of constant curvature
• Bertrand spacetimes
• The Jacobi-Maupertuis Principle in Variational Integrators

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