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Hilbert structure on the ADM phase space

Bartnik, R (Monash)
Monday 12 December 2005, 10:00-11:00

Seminar Room 1, Newton Institute


The Einstein equations can be formulated as a densely defined flow on a phase space modelled on the Hilbert space H2 x H1 with appropriate decay conditions. I will show that the constraint system determines a smooth Hilbert submanifold and the ADM energy-momentum extends smoothly to the entire phase space. These constructions are motivated by the variational definition of quasi-local mass.

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