2025/09/07 by Erick I. Duque, Duque, Erick I. · 1 citation
Earth and Planetary Sciences · Environmental Science · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Methane Hydrates and Related Phenomena
paper · pdf · doi:10.48550/arxiv.2509.06153
openalex publication_date 2025/09/07 · openalex created_date 2025/10/11 · openalex updated_date 2026/08/03
A systematic Hamiltonian formulation of the Einstein-Cartan system, based on the Hilbert-Palatini action with the Barbero-Immirzi and cosmological constants, is performed using the traditional ADM decomposition and without fixing the time gauge. This procedure results in a larger phase space compared to that of the Ashtekar-Barbero approach as well as a larger set of first-class constraints generating gauge transformations that are on-shell equivalent to spacetime diffeomorphisms and SO(1,3) transformations. The imbalance in the number of components between the tetrad and the connection is resolved by the identification of second-class constraints implied by the action, which can be implemented by use of Dirac brackets or by solving them directly. The Hamiltonian system remains well-defined off the second-class constraint surface in an extended phase space with additional degrees of freedom, implying a more general geometric theory. Implications for canonical quantum gravity are discussed.