Geometrical formulation of relativistic mechanics

DOI10.1142/S0219887818500627zbMath1417.83001arXiv1706.01921MaRDI QIDQ4609891

Partha Guha, Sumanto Chanda

Publication date: 26 March 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01921

zbMATH Keywords

Liénard equationgravitational redshiftrelativistic mechanicsBohlin-Arnold dualitylocal Lorentz transformationrelativistic Chiellini conditionrelativistic Keplersemi-relativistic formulation

Mathematics Subject Classification ID

Special relativity (83A05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (4)

A transfer operator approach to relativistic quantum wavefunction ^* ⋮ Ergodic decay laws in Newtonian and relativistic chaotic scattering ⋮ Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect ⋮ Relativistic formulation of noncentral curl force and relativistic Emden-Fowler type equations

Cites Work

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• Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation
• Contact symmetries and Hamiltonian thermodynamics
• Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles
• Ultrarelativistic spinning particle and a rotating body in external fields
• On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications
• A maximally superintegrable system on an \(n\)-dimensional space of nonconstant curvature
• Contact Hamiltonian mechanics
• The Jacobi metric for timelike geodesics in static spacetimes
• World-line geometry probed by fast spinning particle
• Jacobi-Maupertuis-Eisenhart metric and geodesic flows
• Bertrand spacetimes as Kepler/oscillator potentials
• Bohlin transformation: the hidden symmetry that connects Hooke to Newton
• Canonical ADM tetrad gravity: From metrological inertial gauge variables to dynamical tidal Dirac observables
• Relativistic quantum mechanics and relativistic entanglement in the rest-frame instant form of dynamics
• Jacobi–Maupertuis metric and Kepler equation

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