13 citations · 41 across the 12 of their papers we have counts for
12 papers
New asymptotically flat Einstein--Maxwell instantons
Bernardo Araneda, Maciej Dunajski
We disprove the Euclidean Einstein--Maxwell Black Hole Uniqueness Conjecture, and thus demonstrate that the semi-classical properties of coupled gravitational and electromagnetic f…
Teukolsky equations, twistor functions, and conformally self-dual spaces
Bernardo Araneda
We prove a correspondence, for Riemannian manifolds with self-dual Weyl tensor, between twistor functions and solutions to the Teukolsky equations for any conformal and spin weight…
Generalized Siklos space-times
Bernardo Araneda, Ángel J. Murcia
Motivated by supersymmetry methods in general relativity, we study four-dimensional Lorentzian space-times with a complex Dirac spinor field satisfying a Killing-spinor-like equati…
Hidden symmetries of generalised gravitational instantons
Bernardo Araneda
For conformally Kähler Riemannian four-manifolds with a Killing field, we present a framework to solve the field equations for generalised gravitational instantons corresponding to…
Kaehler geometry of black holes and gravitational instantons
Steffen Aksteiner, Bernardo Araneda
We obtain a closed formula for the Kaehler potential of a broad class of four-dimensional Lorentzian or Euclidean conformal "Kaehler" geometries, including the Plebanski-Demianski…
Parallel spinors, pp-waves, and gravitational perturbations
Bernardo Araneda
We prove that any real, vacuum gravitational perturbation of a 4-dimensional vacuum pp-wave space-time can be locally expressed, modulo gauge transformations, as the real part of a…
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…
Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes
Bernardo Araneda
We present weighted covariant derivatives and wave operators for perturbations of certain algebraically special Einstein spacetimes in arbitrary dimensions, under which the Teukols…