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

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.

preprint2001arXivOpen access
Ntina Savvidou
math-phmath.MPgr-qchep-thquant-ph
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Ntina Savvidou

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