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On the properties of the irrotational dust model

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arxiv 1307.4687 v2 pith:LGA2EGED submitted 2013-07-17 gr-qc

classification gr-qc
keywords modeldustirrotationalrecentlyactionadditionalanalyzeassumptions
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In this note we analyze the model of the irrotational dust used recently to deparametrize gravitational action. We prove that the remarkable fact that the Hamiltonian is not a square root is a direct consequence of the time-gauge choice in this model. No additional assumptions or sign choices are necessary to obtain this crucial feature. In this way we clarify a point recently debated in the literature.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the dynamics of single-vertex states in quantum-reduced loop gravity

    gr-qc 2024-12 conditional novelty 6.0 of 10

    The Hamiltonian of single-vertex states in quantum-reduced loop gravity formally matches Bianchi I loop quantum cosmology, and an analogy suggests adding a non-trivial Lorentzian curvature term to the cosmology Hamiltonian.

  2. Quantum-reduced loop gravity: New perspectives on the kinematics and dynamics

    gr-qc 2024-12 conditional novelty 5.0 of 10

    The paper reformulates quantum-reduced loop gravity with a master constraint operator and finds that its single-node Hamiltonian matches the Bianchi I loop quantum cosmology Hamiltonian.

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