ALTERNATIVE VARIABLES FOR THE DYNAMICS OF GENERAL RELATIVITY
2008 ◽
Vol 23
(06)
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pp. 895-908
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Keyword(s):
New Form
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A new form of the dynamical equations of vacuum general relativity is proposed. This form involves the canonical Hamiltonian structure but noncanonical variables. The new field variables are the electric field [Formula: see text] and the magnetic field [Formula: see text] which emerge from the Ashtekar's representation for canonical gravity. The constraint algebra is studied in terms of the new field variables and the counting of the degrees of freedom is done. The quantization is briefly outlined.