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.
Alternative derivation of Krasnov's action for general relativity
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abstract
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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gr-qc 1years
2024 1verdicts
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Canonical analysis of unimodular Pleba\'nski gravity
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.