General relativity histories theory: Spacetime diffeomorphisms and the Dirac algebra of constraints
General Relativity and Quantum Cosmology
2014-11-17 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.gr-qc/0104081,
title = {General relativity histories theory: Spacetime diffeomorphisms and the Dirac algebra of constraints},
author = {Ntina Savvidou},
journal= {arXiv preprint arXiv:gr-qc/0104081},
year = {2014}
}
Comments
Latex, 27 pages, added material on the `covariant' version of Poisson brackets. We explicitly define the extended history space in which both the Dirac algebra and the diffeomorphisms group are represented