A Phase Space for Gravitational Radiation

Details A Phase Space for Gravitational Radiation A Phase Space for Gravitational Radiation

1993-07-07

arxiv.org/abs/gr-qc/9307004v1

Commun.Math.Phys.170:483-502,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages

Scientific paper

10.1007/BF02099146

We give a new definition, based on considerations of well-posedness for a certain asymptotic initial value problem, of the phase space for the radiative degrees of freedom of the gravitational field in exact General Relativity. This space fibres over the space of final states, with the fibres being the purely radiative degrees of freedom. The symplectic form is rigorously identified. The infrared sectors are shown to be the level surfaces of a moment map of an action of the quotient group Supertranslations/Translations. A similar result holds for Electromagnetism in Minkowski space.

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