Remarks on infinitesimal symmetries of geometrical structures of the classical phase space of general relativistic test particle

DOI10.1142/S0219887815600208zbMath1378.70024OpenAlexW2278751519MaRDI QIDQ3465835

Josef Janyška

Publication date: 22 January 2016

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

Full work available at URL: https://doi.org/10.1142/s0219887815600208

zbMATH Keywords

spacetimephase spaceinfinitesimal symmetryalmost-cosymplectic-contact structure

Mathematics Subject Classification ID

Jets in global analysis (58A20) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (1)

Symmetries and conservation laws of Hamiltonian systems

Cites Work

• An algebraic approach to physical scales
• Generalized geometrical structures of odd dimensional manifolds
• Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle
• Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle
• Quantum integrability of quadratic Killing tensors
• GEOMETRIC STRUCTURES OF THE CLASSICAL GENERAL RELATIVISTIC PHASE SPACE
• On the characterization of infinitesimal symmetries of the relativistic phase space

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