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Hilbert structure on the ADM phase space

Date: 
Monday 12th December 2005 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 

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.

Related Links

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons