Singular densities,test particles and generalized Hamiltonian systems in general relativity |
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| Authors: | Fiorella Barone Paolo Facchi Włodzimierz M. Tulczyjew |
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| Affiliation: | 1. Dipartimento di Matematica, Università di Bari, Italy;2. INFN, Sezione di Bari, Italy;3. MECENAS, Università Federico II di Napoli & Università di Bari, Italy;4. Valle San Benedetto, 2, 62030 Monte Cavallo, Italy;5. INFN, Sezione di Napoli, Italy |
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| 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 application of conservation laws to singular tensor densities, which represent regions of strong matter concentration. Moreover, a Hamiltonian formulation of the particle equations is given, in the form of implicit differential equations generated by Hamiltonian Morse families. |
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| Keywords: | General relativity Test particles Generalized Legendre transformation Hamiltonian Morse families |
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