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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Física
2005
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| Online Access: | https://www.redalyc.org/articulo.oa?id=46435216 |
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Table of Contents:
- General relativity histories theory Ntina Savvidou Física, Astronomía y Matemáticas The canonical description is based on the prior choice of a spacelike foliation, hence making a reference to aspacetime metric. However, the metric is expected to be a dynamical, fluctuating quantity in quantum gravity.After presenting the developments in the History Projection Operator histories theory in the last seven years giving special emphasis on the novel temporal structure of the formalism we show how this problem can besolved in the histories formulation of general relativity. We implement the 3+1 decomposition using metricdependentfoliations which remain spacelike with respect to all possible Lorentzian metrics. This allows us tofind an explicit relation of covariant and canonical quantities which preserves the spacetime character of thecanonical description. In this new construction we have a coexistence of the spacetime diffeomorphisms groupDiff(M) and the Dirac algebra of constraints. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435216 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35