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4 results on '"Pantoja, Aldair"'

1. The Hamilton-Jacobi analysis and Canonical Covariant description for three dimensional Palatini theory plus a Chern-Simons term

Author

Escalante, Alberto and Pantoja, Aldair

Subjects
Mathematical Physics
Abstract

By using the Hamilton-Jacobi [HJ] framework the three dimensional Palatini theory plus a Chern-Simons term [PCS] is analyzed. We report the complete set of $HJ$ Hamiltonians and a generalized $HJ$ differential from which all symmetries of the theory are identified. Moreover, we show that in spite of PCS Lagrangian produces Einstein's equations, the generalized $HJ$ brackets depend on a Barbero-Immirzi like parameter. In addition we complete our study by performing a canonical covariant analysis, and we construct a closed and gauge invariant two form that encodes the symplectic geometry of the covariant phase space.

Published
2019

4. The Hamilton–Jacobi analysis for higher-order modified gravity

Author

Escalante, Alberto and Pantoja, Aldair

Abstract

The Hamilton–Jacobi [HJ]study for the Chern–Simons [CS]modification of general relativity [GR]is performed. The complete structure of the constraints and the generalized brackets are reported, from these results the HJfundamental differential is constructed and the symmetries of the theory are found. By using the constraints we remove an apparent Ostrogradsky’s instability and the new structure of the canonical hamiltonian is reported. In addition, the counting of physical degrees of freedom is carried out and some remarks are discussed.

Published
2024
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