General relativity histories theory: Spacetime diffeomorphisms and the Dirac algebra of constraints

Details General relativity histories theory: Spacetime diffeomorphisms and the Dirac algebra of constraints General relativity histories theory: Spacetime diffeomorphisms and the Dirac algebra of constraints

2001-04-25

arxiv.org/abs/gr-qc/0104081v2

Class.Quant.Grav. 18 (2001) 3611-3628

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 27 pages, added material on the `covariant' version of Poisson brackets. We explicitly define the extended history spac

Scientific paper

10.1088/0264-9381/18/17/314

We show that representations of the group of spacetime diffeomorphism and the Dirac algebra both arise in a phase-space histories version of canonical general relativity. This is the general-relativistic analogue of the novel time structure introduced previously in history theory: namely, the existence in non-relativistic physics of two types of time translation; and the existence in relativistic field theory of two distinct Poincare groups.

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