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- W2076014831 abstract "We study the action for the three-space formalism of General Relativity, better known as the BF'O (Barbour--Foster--'O Murchadha) action, which is a square-root BSW (Baierlein--Sharp--Wheeler) action. In particular, we explore the (pre)symplectic structure by pulling it back via a Legendre map to the tangent bundle of the configuration space of this action. With it we attain the canonical Lagrangian vector field which generates the gauge transformations (3-diffeomorphisms) and the true physical evolution of the system. This vector field encapsulates all the dynamics of the system. We also discuss briefly the observables and perennials for this theory. We then present a symplectic reduction of the constrained phase space." @default.
- W2076014831 created "2016-06-24" @default.
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- W2076014831 date "2013-04-09" @default.
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- W2076014831 title "The canonical Lagrangian approach to three-space general relativity" @default.
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- W2076014831 doi "https://doi.org/10.1007/s10714-013-1530-0" @default.
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