51 citations · 108 across the 5 of their papers we have counts for
7 papers
Kerr Initial data
Alfonso García-Parrado Gómez-Lobo, Juan A. Valiente Kroon
Exploiting a 3+1 analysis of the Mars-Simon tensor, conditions on a vacuum initial data set ensuring that its development is isometric to a subset of the Kerr spacetime are found.…
Estimates for the Maxwell field near the spatial and null infinity of the Schwarzschild spacetime
Juan A. Valiente Kroon
It is shown how the gauge of the ``regular finite initial value problem at spacelike infinity'' can be used to construct a certain type of estimates for the Maxwell field propagati…
From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
J. L. Jaramillo, J. A. Valiente Kroon, E. Gourgoulhon
This article reviews some aspects in the current relationship between mathematical and numerical General Relativity. Focus is placed on the description of isolated systems, with a…
Killing spinor initial data sets
Alfonso García-Parrado Gómez-Lobo, Juan A. Valiente Kroon
A 3+1 decomposition of the twistor and valence-2 Killing spinor equation is made using the space spinor formalism. Conditions on initial data sets for the Einstein vacuum equations…
Asymptotic properties of the development of conformally flat data near spatial infinity
J. A. Valiente Kroon
Certain aspects of the behaviour of the gravitational field near null and spatial infinity for the developments of asymptotically Euclidean, conformally flat initial data sets are…
Polyhomogeneous expansions close to null and spatial infinity
Juan A. Valiente Kroon
A study of the linearised gravitational field (spin 2 zero-rest-mass field) on a Minkowski background close to spatial infinity is done. To this purpose, a certain representation o…