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Canonical equivalence in anisotropic models for higher order theory of gravity

High Energy Physics - Theory 2021-03-31 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We show that as in the case of isotropic models, the `Dirac Algorithm' and `Modified Horowitz' Formalism' lead to identical phase-space structure of the Hamiltonian for the gravitational action with curvature squared terms, in anisotropic space-time, viz, Bianchi-I, Bianchi-III and Kantowski-Sachs models too.

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Cite

@article{arxiv.2010.16017,
  title  = {Canonical equivalence in anisotropic models for higher order theory of gravity},
  author = {Subhra Debnath and Abhik Kumar Sanyal},
  journal= {arXiv preprint arXiv:2010.16017},
  year   = {2021}
}

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17 pages, 0 figure