Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-02-28
Int. J. Theor. Phys. 2010. V. 49. N 11. P. 2648-2658
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX, 12 pages; in this version the text was revised with some shortenings; some references was added
Scientific paper
We consider the formulation of the gravity theory first suggested by Regge and Teitelboim where the space-time is a four-dimensional surface in a flat ten-dimensional space. We investigate a canonical formalism for this theory following the approach suggested by Regge and Teitelboim. Under constructing the canonical formalism we impose additional constraints agreed with the equations of motion. We obtain the exact form of the first-class constraint algebra. We show that this algebra contains four constraints which form a subalgebra (the ideal), and if these constraints are fulfilled, the algebra becomes the constraint algebra of the Arnowitt-Deser-Misner formalism of Einstein's gravity. The reasons for the existence of additional first-class constraints in the canonical formalism are discussed.
Paston S. A.
Semenova A. N.
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