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ON THE HAMILTONIAN FORM OF THE EINSTEIN EQUATIONS FOR GRAVITATIONAL FIELD

B. A. FayzullaevTheoretical Physics Department, National University of Uzbekistan, Tashkent 700095, Uzbekistan
International Journal of Modern Physics Ajournal2010en
ABI

Abstract

It is shown that the Einstein gravitational equations and the canonical equations, which follow from the Dirac–Schwinger Hamiltonian, in the Faddeev variables coincide. To prove this, first, the Einstein equations are rewritten in canonical variables and then the time derivative of the generalized momenta of the gravitational field in Faddeev form are calculated using canonical Poisson brackets. The results coincide.

Topics

Algebraic and Geometric AnalysisAdvanced Differential Geometry ResearchQuantum and Classical Electrodynamics

Identifiers

DOI
10.1142/s0217751x10049840

Citations and references

Cited by 04 references
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