2006/03/30 by Riccardo Capovilla, Alberto Escalante, Jemal Guven +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1007/s10773-009-0035-9
published as Int J. Theor. Phys. (2009) 48: 2486-2498 · 9 pages
openalex publication_date 2009/05/12 · arxiv created 2011/08/30 · arxiv updated 2013/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
The Hamiltonian analysis for the Einstein's action in G→ 0 limit is performed. Considering the original configuration space without involve the usual ADM variables we show that the version Gto 0 for Einstein's action is devoid of physical degrees of freedom. In addition, we will identify the relevant symmetries of the theory such as the extended action, the extended Hamiltonian, the gauge transformations and the algebra of the constraints. As complement part of this work, we develop the covariant canonical formalism where will be constructed a closed and gauge invariant symplectic form. In particular, using the geometric form we will obtain by means of other way the same symmetries that we found using the Hamiltonian analysis.