The Hamilton-Jacobi analysis for higher-order modified gravity
General Relativity and Quantum Cosmology
2023-06-07 v1 Mathematical Physics
math.MP
Abstract
The Hamilton-Jacobi study for the Chern-Simons modification of general relativity is performed. The complete structure of the Hamiltonians and the generalized brackets are reported, from these results the fundamental differential is constructed and the symmetries of the theory are found. By using the Hamiltonians we remove an apparent Ostrogradsky's instability and the new structure of the hamiltonian is reported. In addition, the counting of physical degrees of freedom is developed and some remarks are discussed.
Cite
@article{arxiv.2301.00787,
title = {The Hamilton-Jacobi analysis for higher-order modified gravity},
author = {Alberto Escalante and J. Aldair Pantoja-Gonzalez},
journal= {arXiv preprint arXiv:2301.00787},
year = {2023}
}