On a class of 2-surface observables in general relativity
نویسنده
چکیده
The boundary conditions for canonical vacuum general relativity is investigated at the quasi-local level. It is shown that fixing the area element on the 2-surface S (rather than the induced 2-metric) is enough to have a well defined constraint algebra, and a well defined Poisson algebra of basic Hamiltonians parameterized by shifts that are tangent to and divergence free on S. The evolution equations preserve these boundary conditions, and the value of the basic Hamiltonians gives 2+2–covariant, gauge-invariant 2-surface observables. The meaning of these observables is also discussed.
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تاریخ انتشار 2006