Boundary terms in the action principles of general relativity
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I address the question: “What is fixed on the boundary in the action principles of general relativity?” Four forms of the action are considered: the Einstein action, the Hilbert action, the first order action, and what may be called the cosmological action. The relationships and boundary data of these actions are described geometrically. Formal passage to the “Euclidean” forms of these actions is effected in detail.
KeywordsGeneral Relativity Boundary Data Action Principle Boundary Term Order Action
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