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Alternative derivation of Krasnov's action for general relativity

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arxiv 1509.00076 v1 pith:QLLNYKUG submitted 2015-08-31 gr-qc hep-thmath-phmath.MP

Mariano Celada , Diego Gonzalez , Merced Montesinos This is my paper · ORCID
classification gr-qchep-thmath-phmath.MP
keywords actiongeneralkrasnovrelativityalternativeanalysisashtekarauxiliary
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Starting from Plebanski's action for general relativity with cosmological constant, we show that by integrating out all the auxiliary fields Krasnov's action immediately emerges. We also perform the Hamiltonian analysis of the latter and show that the constraints are those of the Ashtekar formalism.

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  1. Canonical analysis of unimodular Pleba\'nski gravity

    gr-qc 2024-11 accept novelty 6.0 of 10

    A canonical analysis of unimodular Plebański gravity shows that the Hamiltonian density is constrained only to be constant, promoting the cosmological constant to an integration constant.

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