Hamiltonian dynamics for Einstein's action in G$\rightarrow$0 limit

Details Hamiltonian dynamics for Einstein's action in G$\rightarrow$0 limit Hamiltonian dynamics for Einstein's action in G$\rightarrow$0 limit

2011-07-20

arxiv.org/abs/1107.3878v3

Int J. Theor. Phys. (2009) 48: 2486-2498

Physics

Mathematical Physics

Scientific paper

10.1007/s10773-009-0035-9

The Hamiltonian analysis for the Einstein's action in $ G\to 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.

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