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Canonical Analysis of Gravity with Dynamical Determinant of Metric-General Case

General Relativity and Quantum Cosmology 2023-10-31 v1

Abstract

We analyse general form of theory with the dynamical determinant of metric. We show that due to the presence of general function of determinant that multiplies scalar curvature Hamiltonian constraint is either second class constraint or it is necessary to impose condition of transversality on parameters of spatial diffeomorphism.

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Cite

@article{arxiv.2310.19755,
  title  = {Canonical Analysis of Gravity with Dynamical Determinant of Metric-General Case},
  author = {J. Kluson},
  journal= {arXiv preprint arXiv:2310.19755},
  year   = {2023}
}

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17 pages