  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.
