The Gauge Theory of the de-Sitter Group and Ashtekar Formulation

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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9 pages

Scientific paper

10.1103/PhysRevD.50.R3583

By adding the Pontrjagin topological invariant to the gauge theory of the de
Sitter group proposed by MacDowell and Mansouri we obtain an action quadratic
in the field-strengths, of the Chern-Simons type, from which the Ashtekar
formulation is derived.

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