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Published 1976 | public
Journal Article

A new Hamiltonian structure for the dynamics of general relativity

Abstract

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.

Additional Information

© 1977 Plenum Publishing Corp. This essay was awarded the second prize for 1976 by the Gravity Research Foundation.

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023