Alternative variables for the dynamics of general relativity

Details Alternative variables for the dynamics of general relativity Alternative variables for the dynamics of general relativity

2005-12-15

arxiv.org/abs/gr-qc/0512096v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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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