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Alternative variables for the dynamics of general relativity
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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 non canonical variables. The new field variables are the electric field $E^{a}{}_{i}$ and the magnetic field $B^{a}{}_{i}$ 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.
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Forward citations
Cited by 2 Pith papers
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Canonical quantization of all minisuperspaces with consistent symmetry reductions
Canonical quantization of all consistent symmetry reductions of the Einstein-Hilbert Lagrangian, with solutions to the Wheeler-DeWitt equation both with and without imposed conformal symmetries.
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Canonical quantization of all minisuperspaces with consistent symmetry reductions
All minisuperspaces from symmetry reductions of the Einstein-Hilbert Lagrangian that obey the principle of symmetric criticality are canonically quantized and their Wheeler-DeWitt equations are solved.
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