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Duality in Einstein's Gravity
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abstract
We show that the Einstein equations in the vacuum are invariant under an $SO(2)$ 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.
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Cited by 1 Pith paper
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The Komar charge in presence of the Holst term and the gravitational Witten effect
The Holst term shifts the Komar mass of Taub-NUT space by -αN, giving a gravitational analog of the Witten effect.
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