Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter

  title={Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter},
  author={Mariano Celada and Merced Montesinos},
  journal={Classical and Quantum Gravity},
We perform the Lorentz-covariant Hamiltonian analysis of two Lagrangian action principles that describe general relativity as a constrained BF theory and that include the Immirzi parameter. The relation between these two Lagrangian actions has already been studied through a map among the fields involved. The main difference between these is the way the Immirzi parameter is included, since in one of them the Immirzi parameter is included explicitly in the BF terms, whereas in the other (the CMPR… 

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