A new Hamiltonian structure for the dynamics of general relativity

Details A new Hamiltonian structure for the dynamics of general relativity A new Hamiltonian structure for the dynamics of general relativity

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..915f&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 12, pp.915-920

Mathematics

Symplectic Geometry

6

Scientific paper

A new compact form of the dynamical equations of relativity is proposed. The new form clarifies the covariance of the equations under coordinate transformations of the space-time. On a deeper level, we obtain new insight into the infinite-dimensional symplectic geometry behind the dynamical equations, the decompositions of gravitational perturbations, and the space of gravitational degrees of freedom. Prospects for these results in studying fields coupled to gravity and the quantization of gravity are outlined.

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