2 citations · 2 across the 2 of their papers we have counts for
5 papers
On self-dual Yang-Mills fields on special complex surfaces
Bernardo Araneda
We derive a generalization of the flat space Yang's and Newman's equations for self-dual Yang-Mills fields to (locally) conformally Kahler Riemannian 4-manifolds. The results also…
Conformal geometry and half-integrable spacetimes
Bernardo Araneda
Using a combination of techniques from conformal and complex geometry, we show the potentialization of 4-dimensional closed Einstein-Weyl structures which are half-algebraically sp…
On the geometry of Petrov type II spacetimes
Steffen Aksteiner, Lars Andersson, Bernardo Araneda +1
In general, geometries of Petrov type II do not admit symmetries in terms of Killing vectors or spinors. We introduce a weaker form of Killing equations which do admit solutions. I…
Two-dimensional twistor manifolds and Teukolsky operators
Bernardo Araneda
The Teukolsky equations are currently the leading approach for analysing stability of linear massless fields propagating in rotating black holes. It has recently been shown that th…
Conformal invariance, complex structures, and the Teukolsky connection
Bernardo Araneda
We show that the Teukolsky connection, which defines generalized wave operators governing the behavior of massless fields on Einstein spacetimes of Petrov type D, has its origin in…