11 citations · 48 across the 8 of their papers we have counts for
8 papers
An asymptotic characterisation of the Kerr spacetime
Robert Sansom, Juan A. Valiente Kroon
We provide a characterisation of the Kerr spacetime close to future null infinity using the asymptotic characteristic initial value problem in a conformally compactified spacetime.…
Improved existence for the characteristic initial value problem with the conformal Einstein field equations
David Hilditch, Juan A. Valiente Kroon, Peng Zhao
We adapt Luk's analysis of the characteristic initial value problem in General Relativity to the asymptotic characteristic problem for the conformal Einstein field equations to dem…
Revisiting the characteristic initial value problem for the vacuum Einstein field equations
David Hilditch, Juan A. Valiente Kroon, Peng Zhao
Using the Newman-Penrose formalism we study the characteristic initial value problem in vacuum General Relativity. We work in a gauge suggested by Stewart, and following the strate…
Conformal wave equations for the Einstein-tracefree matter system
Diego A. Carranza, Adem E. Hursit, Juan A. Valiente Kroon
Inspired by a similar analysis for the vacuum conformal Einstein field equations by Paetz [Ann. H. Poincaré 16, 2059 (2015)], in this article we show how to construct a system of q…
Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the vacuum case
Diego A. Carranza, Juan A. Valiente Kroon
We make use of the metric version of the conformal Einstein field equations to construct anti-de Sitter-like spacetimes by means of a suitably posed initial-boundary value problem.…
Spectral methods for the spin-2 equation near the cylinder at spatial infinity
Rodrigo P. Macedo, Juan A. Valiente Kroon
We solve, numerically, the massless spin-2 equations, written in terms of a gauge based on the properties of conformal geodesics, in a neighbourhood of spatial infinity using spect…