2023/01/02 by Alberto Escalante, Escalante, Alberto, J. Aldair Pantoja-Gonzalez +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2301.00787
openalex publication_date 2023/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Hamilton-Jacobi [HJ] study for the Chern-Simons [CS] modification of general relativity [GR] is performed. The complete structure of the Hamiltonians and the generalized brackets are reported, from these results the HJ 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.