Remarks on Pure Spin Connection Formulations of Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Scientific paper

10.1142/S0217732392001579

In the derivation of a pure spin connection action functional for gravity two
methods have been proposed. The first starts from a first order lagrangian
formulation, the second from a hamiltonian formulation. In this note we show
that they lead to identical results for the specific cases of pure gravity with
or without a cosmological constant.

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