We derive the motion equations and the structure equations of neutral and charged test particles, starting from the gravitational field equations. The method consists in the ap- plication of conservation laws to singular tensor densities, which represent regions of strong matter concentration. Moreover, a Hamiltonian formulation of the particle equa- tions is given, in the form of implicit differential equations generated by Hamiltonian Morse families.
Singular densities, test particles and generalized Hamiltonian systems in general relativity
BARONE, Fiorella;FACCHI, PAOLO;
2011-01-01
Abstract
We derive the motion equations and the structure equations of neutral and charged test particles, starting from the gravitational field equations. The method consists in the ap- plication of conservation laws to singular tensor densities, which represent regions of strong matter concentration. Moreover, a Hamiltonian formulation of the particle equa- tions is given, in the form of implicit differential equations generated by Hamiltonian Morse families.File in questo prodotto:
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