32 citations · 194 across the 28 of their papers we have counts for
32 papers
Conformal geodesics and the hyperboloid at timelike infinity
Achilleas V. Koukas, Mariem Magdy, Juan A. Valiente Kroon
A description of scattering in asymptotically flat spacetimes that includes both radiation and massive asymptotic states requires control of the relation between null and timelike…
The ďAlembert solution in hyperboloidal foliations
Juan A. Valiente Kroon, Lidia J. Gomes Da Silva
We explicitly construct the analogue of the ďAlembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal ďAlembert solution is used, in turn, to gain…
BMS-supertranslation charges at the critical sets of null infinity
Mariem Magdy, Kartik Prabhu, Juan A. Valiente Kroon
For asymptotically flat spacetimes, a conjecture by Strominger states that asymptotic BMS-supertranslations and their associated charges at past null infinity can…
New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
Jarosław Kopiński, Alberto Soria, Juan A. Valiente Kroon
We prove a new geometric inequality that relates the Arnowitt-Deser-Misner mass of initial data to a quasilocal angular momentum of a marginally future trapped surface inner bounda…
Hyperboloidal discontinuous time-symmetric numerical algorithm with higher order jumps for gravitational self-force computations in the time domain
Lidia J. Gomes Da Silva, Rodrigo Panosso Macedo, Jonathan E. Thompson +3
Within the next decade the Laser Interferometer Space Antenna (LISA) is due to be launched, providing the opportunity to extract physics from stellar objects and systems, such as \…
Trapped surface formation for the Einstein-Scalar system
Peng Zhao, David Hilditch, Juan A. Valiente Kroon
We consider the formation of trapped surfaces in the evolution of the Einstein-scalar field system without symmetries. To this end, we follow An's strategy to analyse the formation…
Controlled regularity at future null infinity from past asymptotic initial data: massless fields
Grigalius Taujanskas, Juan A. Valiente Kroon
We study the relationship between asymptotic characteristic initial data at past null infinity and the regularity of solutions at future null infinity for the massless linear spin-…
On the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime
Marica Minucci, Juan Antonio Valiente Kroon
The non-linear stability of the sub-extremal Schwarzschild-de Sitter spacetime in the stationary region near the conformal boundary is analysed using a technique based on the exten…
Dain's invariant for black hole initial data
Robert Sansom, Juan A. Valiente Kroon
Dynamical black holes in the non-perturbative regime are not mathematically well understood. Studying approximate symmetries of spacetimes describing dynamical black holes gives an…
Bach equation and the matching of spacetimes in conformal cyclic cosmology models
Jarosław Kopiński, Juan A. Valiente Kroon
We consider the problem of matching two spacetimes, the previous and present aeons, in the Conformal Cyclic Cosmology model. The common boundary between them inherits two sets of c…
Asymptotic charges for spin-1 and spin-2 fields at the critical sets of null infinity
Mariem Magdy, Juan A. Valiente Kroon
The asymptotic charges of spin-1 and spin-2 fields are studied near spatial infinity. We evaluate the charges at the critical sets where spatial infinity meets null infinity with t…
Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime
Edgar Gasperin, Juan A. Valiente Kroon
Linear zero-rest-mass fields generically develop logarithmic singularities at the critical sets where spatial infinity meets null infinity. Friedrich's representation of spatial in…
The conformal Einstein field equations and the local extension of future null infinity
Peng Zhao, David Hilditch, Juan A. Valiente Kroon
We make use of an improved existence result for the characteristic initial value problem for the conformal Einstein equations to show that given initial data on two null hypersurfa…
A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature
Marica Minucci, Juan Antonio Valiente Kroon
In this article, it is shown how the extended conformal Einstein field equations and a gauge based on the properties of conformal geodesics can be used to analyse the non-linear st…
A comparison of Ashtekar's and Friedrich's formalisms of spatial infinity
Mariem Magdy, Juan A. Valiente Kroon
Penrose's idea of asymptotic flatness provides a framework for understanding the asymptotic structure of gravitational fields of isolated systems at null infinity. However, the stu…
New spinorial approach to mass inequalities for black holes in general relativity
Jarosław Kopiński, Juan A. Valiente Kroon
A new spinorial strategy for the construction of geometric inequalities involving the Arnowitt-Deser-Misner (ADM) mass of black hole systems in general relativity is presented. Thi…
Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case
Diego A. Carranza, Juan A. Valiente Kroon
Using a metric conformal formulation of the Einstein equations, we develop a construction of 4-dimensional anti-de Sitter-like spacetimes coupled to tracefree matter models. Our st…
A perturbative approach to the construction of initial data on compact manifolds
J. A. Valiente Kroon, J. L. Williams
We discuss the implementation, to the case of compact manifolds, of the perturbative method of Friedrich-Butscher for the construction of solutions to the vaccum Einstein constrain…
Conformal geodesics in spherically symmetric vacuum spacetimes with Cosmological constant
Alfonso García-Parrado Gómez-Lobo, Edgar Gasperin, Juan A. Valiente Kroon
An analysis of conformal geodesics in the Schwarzschild-de Sitter and Schwarzschild-anti de Sitter families of spacetimes is given. For both families of spacetimes we show that ini…
Dain's invariant on non-time symmetric initial data sets
Juan A. Valiente Kroon, Jarrod L. Williams
We extend Dain's construction of a geometric invariant characterising static initial data sets for the vacuum Einstein field equations to situations with a non-vanishing extrinsic…
A geometric invariant characterising initial data for the Kerr-Newman spacetime
Michael J. Cole, Juan A. Valiente Kroon
We describe the construction of a geometric invariant characterising initial data for the Kerr-Newman spacetime. This geometric invariant vanishes if and only if the initial data s…
Zero rest-mass fields and the Newman-Penrose constants on flat space
Edgar Gasperin, Juan Antonio Valiente Kroon
Zero rest-mass fields of spin 1 (the electromagnetic field) and spin 2 propagating on flat space and their corresponding Newman-Penrose (NP) constants are studied near spatial infi…
Killing spinors as a characterisation of rotating black hole spacetimes
Michael J. Cole, Juan A. Valiente Kroon
We investigate the implications of the existence of Killing spinors in a spacetime. In particular, we show that in vacuum and electrovacuum a Killing spinor, along with some assump…
Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime
Edgar Gasperin, Juan Antonio Valiente Kroon
The conformal structure of the Schwarzschild-de Sitter spacetime is analysed using the extended conformal Einstein field equations. To this end, initial data for an asymptotic init…