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arXiv · hep-th/0410265

Generalized Gravitational S-Duality and the Cosmological Constant Problem

U. Ellwanger
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Abstract

We study S-duality transformations that mix the Riemann tensor with the field strength of a 3-form field. The dual of an (A)dS space time - with arbitrary curvature - is seen to be flat Minkowski space time, if the 3-form field has vanishing field strength before the duality transformation. It is discussed whether matter could couple to the dual metric, related to the Riemann tensor after a duality transformation. This possibility is supported by the facts that the Schwarzschild metric can be obtained as a suitable contraction of the dual of a Taub-NUT-AdS metric, and that metrics describing FRW cosmologies can be obtained as duals of theories with matter in the form of torsion.

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U. Ellwanger. 2005-03-29. Generalized Gravitational S-Duality and the Cosmological Constant Problem. https://doi.org/10.1088/0264-9381%2F22%2F9%2F014

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