On Dual Formulation of Gravity. II. Metric and Affine Connection

Details On Dual Formulation of Gravity. II. Metric and Affine Connection On Dual Formulation of Gravity. II. Metric and Affine Connection

2005-06-26

arxiv.org/abs/hep-th/0506217v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, plain LaTeX, no figures

Scientific paper

In this note we construct a dual formulation of gravity where the main dynamical object is affine connection. We start with the well known first order Palatini formulation but in (Anti) de Sitter space instead of flat Minkowski space as a background. The final result obtained by solving equations for the metric is the Lagrangian written by Eddington in his book in 1924. Also there is an interesting connection with attempts to construct gravitational analog of Born-Infeld electrodynamics.

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