Search Results - "Valiente Kroon, J. A."
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Evolution equations for a wide range of Einstein-matter systems
Published in General relativity and gravitation (01-10-2020)“…We use an orthonormal frame approach to provide a general framework for the first order hyperbolic reduction of the Einstein equations coupled to a fairly…”
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On the locally rotationally symmetric Einstein–Maxwell perfect fluid
Published in General relativity and gravitation (01-06-2016)“…We examine the stability of Einstein–Maxwell perfect fluid configurations with a privileged radial direction by means of a 1 + 1 + 2 -tetrad formalism. We use…”
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3
Spherically symmetric anti–de Sitter-like Einstein-Yang-Mills spacetimes
Published in Physical review. D, Particles, fields, gravitation, and cosmology (08-07-2014)“…The conformal field equations are used to discuss the local existence of spherically symmetric solutions to the Einstein-Yang-Mills system which behave…”
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4
Illusions and Cloaks for Surface Waves
Published in Scientific reports (22-08-2014)“…Ever since the inception of Transformation Optics (TO), new and exciting ideas have been proposed in the field of electromagnetics and the theory has been…”
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5
Killing spinor data on distorted black hole horizons and the uniqueness of stationary vacuum black holes
Published 26-04-2018“…We make use of the black hole holograph construction of [I. R\'acz, Stationary black holes as holographs, Class. Quantum Grav. 31, 035006 (2014)] to analyse…”
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6
Spherically symmetric Anti-de Sitter-like Einstein-Yang-Mills spacetimes
Published 01-06-2014“…The conformal field equations are used to discuss the local existence of spherically symmetric solutions to the Einstein-Yang-Mills system which behave…”
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A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies
Published 20-11-2011“…The conformal Einstein equations for a tracefree (radiation) perfect fluid are derived in terms of the Levi-Civita connection of a conformally rescaled metric…”
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Asymptotic simplicity and static data
Published 30-11-2010“…The present article considers time symmetric initial data sets for the vacuum Einstein field equations which in a neighbourhood of infinity have the same…”
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The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars
Published 12-10-2010“…Proc.Roy.Soc.Lond.A467:1701-1718,2011 In this article we construct a geometric invariant for initial data sets for the vacuum Einstein field equations…”
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On de Sitter-like and Minkowski-like space-times
Published 01-07-2009“…Class.Quant.Grav.26:145012,2009 Friedrich's proofs for the global existence results of de Sitter-like space-times and of semi-global existence of…”
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From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
Published 30-01-2008“…Class.Quant.Grav.25:093001,2008 This article reviews some aspects in the current relationship between mathematical and numerical General Relativity. Focus is…”
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A perturbative approach to the construction of initial data on compact manifolds
Published 22-01-2018“…We discuss the implementation, to the case of compact manifolds, of the perturbative method of Friedrich-Butscher for the construction of solutions to the…”
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13
A class of conformal curves in the Reissner-Nordstr\"om spacetime
Published 23-01-2013“…A class of curves with special conformal properties (conformal curves) is studied on the Reissner-Nordstr\"om spacetime. It is shown that initial data for the…”
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14
Asymptotic properties of the development of conformally flat data near spatial infinity
Published 30-01-2007“…Class.Quant.Grav.24:3037-3054,2007 Certain aspects of the behaviour of the gravitational field near null and spatial infinity for the developments of…”
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A characterisation of Schwarzschildean initial data
Published 01-04-2005“…Phys.Rev. D72 (2005) 084003 A theorem providing a characterisation of Schwarzschildean initial data sets on slices with an asymptotically Euclidean end is…”
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A stability result for purely radiative spacetimes
Published 21-10-2009“…An existence and stability result for a class of purely radiative vacuum spacetimes arising from hyperboloidal data is given. This result generalises…”
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Time asymmetric spacetimes near null and spatial infinity. II. Expansions of developments of initial data sets with non-smooth conformal metrics
Published 10-12-2004“…Class.Quant.Grav. 22 (2005) 1683-1707 This article uses the conformal Einstein equations and the conformal representation of spatial infinity introduced by…”
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Time asymmetric spacetimes near null and spatial infinity. I. Expansions of developments of conformally flat data
Published 18-08-2004“…Class.Quant.Grav. 21 (2004) 5457-5492 The Conformal Einstein equations and the representation of spatial infinity as a cylinder introduced by Friedrich are…”
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Asymptotic expansions of the Cotton-York tensor on slices of stationary spacetimes
Published 05-02-2004“…Class.Quant.Grav. 21 (2004) 3237-3250 We discuss expansions for the Cotton-York tensor near infinity for arbitrary slices of stationary spacetimes. From these…”
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Boost-rotation symmetric type D radiative metrics in Bondi coordinates
Published in Physical review. D, Particles and fields (15-10-2000)Get full text
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