Singular densities, test particles and generalized Hamiltonian systems in general relativity

DOI10.1016/J.GEOMPHYS.2010.10.004zbMath1208.83022OpenAlexW2090125521WikidataQ59473111 ScholiaQ59473111MaRDI QIDQ617969

Fiorella Barone, Paolo Facchi, Włodzimierz M. Tulczyjew

Publication date: 14 January 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.10.004

zbMATH Keywords

general relativitytest particlesgeneralized Legendre transformationHamiltonian Morse families

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Electromagnetic fields in general relativity and gravitational theory (83C50) Gravitational energy and conservation laws; groups of motions (83C40) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

• Constrained Hamiltonian systems as implicit differential equations
• Conserved energy-momentum as a class of tensor densities
• The Connection between Conservation Laws and Laws of Motion in Affine Spaces
• Generalized Hamiltonian Dynamics
• On the Motion of Test Particles in General Relativity
• The Theory of Positrons
• Constraints in Covariant Field Theories
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