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Hamiltonian analysis of unimodular gravity and its quantization in the connection representation

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arxiv 2003.05083 v2 pith:BVI6QDTK submitted 2020-03-11 gr-qc

Hamiltonian analysis of unimodular gravity and its quantization in the connection representation

Shinji Yamashita This is my paper
classification gr-qc
keywords unimodulargravityanalysisclassconnectionhamiltonianquantizationrepresentation
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We perform the Hamiltonian analysis of unimodular gravity in terms of the connection representation. The unimodular condition is imposed straightforwardly into the action with a Lagrange multiplier. After classifying constraints into first class and second class, the canonical quantization is carried out. We consider the difference of the corresponding physical states between unimodular gravity and general relativity.

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  1. Unimodular quantum cosmology in the connection representation: A minimal model

    gr-qc 2026-02 conditional novelty 5.0

    In a flat, empty unimodular quantum cosmology in connection variables, positive-cosmological-constant wave functions vanish at zero volume, while a negative cosmological constant is excluded by operator regularity and...