Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Geometrical Methods in Modern Physics |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.worldscientific.com/doi/abs/10.1142/S0219887814600202 |
| Doi | http://dx.doi.org/10.1142/S0219887814600202 |
| Field | General mathematics |
| Keywords | Spacetime; phase space; dynamical connection; dynamical 2-form; dynamical 2-vector; almost-cosymplectic–contact structure; almost-coPoisson–Jacobi structure; contact structure; Jacobi structure; special phase function; special bracket |
| Attached files | |
| Description | The classical phase space of general relativistic classical test particle (here called, for short, "phase space") is defined as the first jet space of motions regarded as timelike one-dimensional submanifolds of spacetime. By the projectability assumption, we define the subsheaf of special phase functions with a special Lie bracket and we compare the Lie algebra of special phase functions with the structures obtained on the phase space by the standard Hamiltonian approach. |
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