activity
20152026
most citedSymmetry operators and decoupled equations for linear fields on black hole spacetimes

15 citations · 35 across the 8 of their papers we have counts for

collaborators

8 papers

math.DG2026

On Chen-Teo geometries with cosmological constant

Bernardo Araneda

The Chen-Teo geometry is a Riemannian, Ricci-flat ALF 4-manifold, containing an AF gravitational instanton that gives the first counterexample to the Euclidean black hole uniquenes…

math.DG2026

On toric self-dual Einstein gravitational instantons

Bernardo Araneda, James Lucietti, Virinchi Rallabhandi

We consider the classification of toric self-dual Einstein gravitational instantons with negative cosmological constant. As is well known, any Killing vector field on a self-dual E…

gr-qc2024

surfaces and global coordinates in black hole spacetimes

Bernardo Araneda, Bernard F. Whiting

We present a discussion of the periodicity in imaginary time of maximally extended black hole spacetimes without reference to Euclidean manifolds. As motivation, we first demonstra…

gr-qc2023★ 2 cited

Complex conformal transformations and zero-rest-mass fields

Bernardo Araneda

We give a simple prescription for relating different solutions to the zero-rest-mass field equations in conformally flat space-time via complex conformal transformations and change…

gr-qc2022

Twistor quadrics and black holes

Bernardo Araneda

A simple procedure is given to construct curved, non-self-dual (complexified) Kaehler metrics on space-time in terms of deformations of holomorphic quadric surfaces in flat twistor…

hep-th2016★ 6 cited

Instability of asymptotically anti de Sitter black holes under Robin conditions at the timelike boundary

Bernardo Araneda, Gustavo Dotti

The static region outside the event horizon of an asymptotically anti de Sitter black hole has a conformal timelike boundary on which boundary conditions have to be i…

gr-qc2016★ 15 cited

Symmetry operators and decoupled equations for linear fields on black hole spacetimes

Bernardo Araneda

In the class of vacuum Petrov type D spacetimes with cosmological constant, which includes the Kerr-(A)dS black hole as a particular case, we find a set of four-dimensional operato…

gr-qc2015★ 12 cited

Petrov type of linearly perturbed type D spacetimes

Bernardo Araneda, Gustavo Dotti

We show that a spacetime satisfying the linearized vacuum Einstein equations around a type D background is generically of type I, and that the splittings of the Principal Null Dire…