Dirac Observables and the Phase Space of General Relativity
Hossein Farajollahi and Hugh Luckock
Research Report 2001-16
Date: 19 December 2001
In the canonical approach to general relativity it is customary to parametrize
the phase space by initial data on spacelike hypersurfaces. However, if one
seeks a theory dealing with observations that can be made by a single
localized observer, it is natural to use a different description of the phase
space. This results in a different set of Dirac observables from that
appearing in the conventional formulation. It also suggests a possible
solution to the problem of time, which has been one of the obstacles to the
development of a satisfactory quantum theory of gravity.
general relativity. Dirac observables. problem of time. localized observer.
phase space. canonical formulation.
AMS Subject Classification (1991)
Secondary: 70H45, 53D50
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