论文标题
爱因斯坦重力的二元性
Duality in Einstein's Gravity
论文作者
论文摘要
我们表明，真空中的爱因斯坦方程在$（2）$二元对称性下是不变的，该对称性将曲率2形旋转到其切线空间杂货双重二元。类似于仪表理论中的电磁双重性，二元性操作将经典的解决方案映射到彼此。例如，我们证明了Kerr解决方案是通过双重性无线映射到Kerr-Taub-nut中的。
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.
