Generalized Gravitational S-Duality and the Cosmological Constant Problem
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.
Cite
@article{arxiv.hep-th/0410265,
title = {Generalized Gravitational S-Duality and the Cosmological Constant Problem},
author = {U. Ellwanger},
journal= {arXiv preprint arXiv:hep-th/0410265},
year = {2009}
}
Comments
26 pages, introduction rewritten, title changed, references added, to appear in Class. Quantum Grav