2 papers
math.DG2024
Rod Structures and Patching Matrices: a review
Paul Tod
I review the twistor theory construction of stationary and axisymmetric, Lorentzian signature solutions of the Einstein vacuum equations and the related toric Ricci-flat metrics of…
gr-qc2024
One-sided type-D metrics with aligned Einstein-Maxwell
Paul Tod
We consider four-dimensional, Riemannian metrics for which one or other of the self-dual or anti-self-dual Weyl tensors is type-D and which satisfy the Einstein-Maxwell equations w…