80 citations · 274 across the 24 of their papers we have counts for
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The linearised conformal Einstein field equations around a Petrov-type~D spacetime: the conformal Teukolsky equation
Edgar Gasperin, Rodrigo Panosso Macedo, Justin Feng
While the Teukolsky equation plays a central role in traditional treatments of perturbations of algebraically special spacetimes, its relation to Friedrich's conformal Einstein fie…
Asymptotic charges of a quadrupolar naked singularity
Edgar Gasperin, Mariem Magdy
The purpose of this article is to compute the asymptotic charges of a vacuum solution to the Einstein field equations describing a naked singularity with a non-vanishing quadrupole…
An invariant measure of deviation from Petrov type D at the level of initial data
Edgar Gasperin, Jarrod L. Williams
In this article, we describe a simple covariant characterisation of initial data sets which give rise to Petrov type D vacuum spacetime developments. As an application, we derive a…
An asymptotic systems approach for the good-bad-ugly model with application to general relativity
Miguel Duarte, Justin C. Feng, Edgar Gasperín +1
We employ an adapted version of Hörmander's asymptotic systems method to show heuristically that the standard good-bad-ugly model admits formal polyhomogeneous asymptotic solutions…
Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime
Christian Peterson, Edgar Gasperín, Alex Vañó-Viñuales
Numerical evolutions of a system of equations close to null infinity in the geometric background of the inversion-Minkowski spacetime are performed. The evolved equations correspon…
Twistor initial data characterisation of pp-waves
Edgar Gasperin, Francisco Pais
This note gives a concise derivation of a twistor-initial-data characterisation of pp-wave spacetimes in vacuum. The construction is based on a similar calculation for the Minkowsk…