Gravitational S-Duality Realized on NUT-Schwarzschild and NUT-de Sitter Metrics

Details Gravitational S-Duality Realized on NUT-Schwarzschild and NUT-de Sitter Metrics Gravitational S-Duality Realized on NUT-Schwarzschild and NUT-de Sitter Metrics

2002-01-21

arxiv.org/abs/hep-th/0201163v1

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figs

Scientific paper

Gravitational S-duality is defined by the contraction of two indices of the Riemann tensor with the epsilon tensor. We review its realization in linearized gravity, and study its generalization to full non-linear gravity by means of explicit examples: Up to a rescaling of the coordinates, it relates two Taub-NUT-Schwarzschild metrics by interchanging m with l, provided both parameters are non-zero. In the presence of a cosmological constant gravitational S-duality can be implemented at the expense of the introduction of a three-form field whose value turns out to be dual to the cosmological constant.

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