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Paper   IPM / Particles / 15579
School of Particles and Accelerator
  Title:   Hamiltonian structure of three-dimensional gravity in Vielbein formalism
1.  Mahdi Hajihashemi
2.  Ahmad Shirzad
  Status:   Published
  Journal: Phys. Rev. D
  No.:  024022
  Vol.:  97
  Year:  2018
  Supported by:  IPM
Considering Chern-Simons like gravity theories in three dimensions as first order systems, we analyze the Hamiltonian structure of three theories Topological massive gravity, New massive gravity, and Zwei-Dreibein Gravity. We show that these systems demonstrate a new feature of the constrained systems in which a new kind of constraints emerge due to factorization of determinant of the matrix of Poisson brackets of constraints. We find the desired number of degrees of freedom as well as the generating functional of local Lorentz transformations and diffeomorphism through canonical structure of the system. We also compare the Hamiltonian structure of linearized version of the considered models with the original ones.

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