Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-01-12
Phys.Rev.D82:124035,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages, no figures
Scientific paper
10.1103/PhysRevD.82.124035
In the context of the teleparallel equivalent of general relativity we establish the Hamiltonian formulation of the unimodular theory of gravity. Here we do not carry out the usual $3+1$ decomposition of the field quantities in terms of the lapse and shift functions, as in the ADM formalism. The corresponding Lagrange multiplier is the timelike component of the tetrad field. The dynamics is determined by the Hamiltonian constraint ${\cal H}'_0$ and a set of primary constraints. The constraints are first class and satisfy an algebra that is similar to the algebra of the Poincar\'e group.
da Rocha-Neto J. F.
Maluf Jos W.
Ulhoa S. C.
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