A note on the foundation of relativistic mechanics. II: Covariant hamiltonian general relativity

Details A note on the foundation of relativistic mechanics. II: Covariant hamiltonian general relativity A note on the foundation of relativistic mechanics. II: Covariant hamiltonian general relativity

2002-02-21

arxiv.org/abs/gr-qc/0202079v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures, 2nd part of gr-qc/0111037

Scientific paper

I illustrate a simple hamiltonian formulation of general relativity, derived from the work of Esposito, Gionti and Stornaiolo, which is manifestly 4d generally covariant and is defined over a finite dimensional space. The spacetime coordinates drop out of the formalism, reflecting the fact that they are not related to observability. The formulation can be interpreted in terms of Toller's reference system transformations, and provides a physical interpretation for the spinnetwork to spinnetwork transition amplitudes computable in principle in loop quantum gravity and in the spin foam models.

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