A phase space for gravitational radiation
Copyright policy )A phase space for gravitational radiation
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.
21 pages
- University of Missouri United States
58Z05, level surfaces, 83C30, gravitational radiation, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), asymptotic degrees of freedom, General Relativity and Quantum Cosmology, moment map, Applications of differential geometry to physics, symplectic form, Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory, Quantization of the gravitational field, 83C05
58Z05, level surfaces, 83C30, gravitational radiation, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), asymptotic degrees of freedom, General Relativity and Quantum Cosmology, moment map, Applications of differential geometry to physics, symplectic form, Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory, Quantization of the gravitational field, 83C05
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!