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Nonlinear Realization of the General Covariance Group Revisited

High Energy Physics - Theory 2007-05-23 v2 General Relativity and Quantum Cosmology

Abstract

A modified algorithm for the construction of nonlinear realizations (sigma models) is applied to the general covariance group. Our method features finite dimensionality of the coset manifold by letting the vacuum stability group be infinite. No decomposition of the symmetry group to its finite-dimensional subgroups is required. The expected result, i.e. Einstein-Cartan gravity, is finally obtained.

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Cite

@article{arxiv.hep-th/9801028,
  title  = {Nonlinear Realization of the General Covariance Group Revisited},
  author = {D. Maxera},
  journal= {arXiv preprint arXiv:hep-th/9801028},
  year   = {2007}
}

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12 pages