Duality in Einstein's Gravity
arXiv:2205.05752
Abstract
We show that the Einstein equations in the vacuum are invariant under an duality symmetry which rotates the curvature 2-form into its tangent space Hodge dual. Akin to electric-magnetic duality in gauge theory, the duality operation maps classical solutions into each other. As an example, we demonstrate that the Kerr solution is non-linearly mapped by duality into Kerr-Taub-NUT.
v2: references added