Prof Juan A. Valiente Kroon

Juan A. Valiente Kroon
PhD, MIoP, MLMS, FHEA

Professor in Applied Mathematics and Mathematical Physics
Director of Research

School of Mathematical Sciences
Queen Mary University of London
ORCID X

Research

Mathematical General Relativity, Computer Algebra

Interests

Conformal methods, spinors, applications of PDE theory to Relativity.

Publications

solid heart iconPublications of specific relevance to the Centre for Geometry, Analysis and Gravitation

2024

bullet iconNew spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
Kopiński J, Soria A and Kroon JAV
Journal of Mathematical Physics, Aip Publishing vol. 65 (4) 
01-04-2024
bullet iconBMS-supertranslation charges at the critical sets of null infinity
Mohamed MMA, Prabhu K and Kroon JAV
Journal of Mathematical Physics, Aip Publishing vol. 65 (3) 
01-03-2024
bullet iconAt the interface of asymptotics, conformal methods and analysis in general relativity
Taujanskas G and Kroon JAV
Philosophical Transactions of The Royal Society a Mathematical Physical and Engineering Sciences, The Royal Society vol. 382 (2267) 
15-01-2024

2023

Relevant PublicationOn the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime
Minucci M and Valiente Kroon JA
Classical and Quantum Gravity, Iop Publishing vol. 40 (14) 
20-07-2023
Relevant PublicationDain’s invariant for black hole initial data
Sansom R and Kroon JAV
Classical and Quantum Gravity, Iop Publishing vol. 40 (11) 
27-04-2023

2022

Relevant PublicationConformal Methods in General Relativity
Kroon JAV
 
04-11-2022
Relevant PublicationBach equation and the matching of spacetimes in conformal cyclic cosmology models
Kopiński J and Kroon JAV
Physical Review D, American Physical Society vol. 106 (8), 084034-084034.  
20-10-2022
Relevant PublicationThe Maxwell-scalar field system near spatial infinity
Minucci M, MacEdo RP and Valiente Kroon JA
Journal of Mathematical Physics, American Institute of Physics vol. 63 (8) 
29-08-2022
Relevant PublicationFuture stability of self-gravitating dust balls in an expanding universe
Beheshti S, Normann M and Kroon JAV
Physical Review D, American Physical Society vol. 105 (12), 124027-124027.  
14-06-2022
Relevant PublicationAsymptotic charges for spin-1 and spin-2 fields at the critical sets of null infinity
Magdy Ali Mohamed M and Valiente Kroon JA
Journal of Mathematical Physics, American Institute of Physics vol. 63 (5) 
02-05-2022

2021

Relevant PublicationStaticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime
Gasperín E and Kroon JAV
Classical and Quantum Gravity vol. 39 (1), 015014-015014.  
08-12-2021
Relevant PublicationThe conformal Einstein field equations and the local extension of future null infinity
Zhao P, Hilditch D and Kroon JAV
Journal of Mathematical Physics vol. 62 (10), 102501-102501.  
01-10-2021
Relevant PublicationA comparison of Ashtekar’s and Friedrich’s formalisms of spatial infinity
Ali Mohamed MM and Valiente Kroon JA
Classical and Quantum Gravity vol. 38 (16), 165015-165015.  
28-07-2021
Relevant PublicationA conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature
Minucci M and Valiente Kroon JA
Classical and Quantum Gravity, Iop Publishing vol. 38 (14), 145026-145026.  
17-06-2021
Relevant PublicationThe conformal Einstein field equations with massless Vlasov matter
Joudioux J, Thaller M and Valiente Kroon JA
Annales De L’Institut Fourier, 1-44.  
07-06-2021
Relevant PublicationNew spinorial approach to mass inequalities for black holes in general relativity
Kopiński J and Kroon JAV
Physical Review D, American Physical Society vol. 103 (2), 024057-024057.  
15-01-2021
Relevant PublicationTHE CONFORMAL EINSTEIN FIELD EQUATIONS WITH MASSLESS VLASOV MATTER
Joudioux J, Thaller M and Kroon JAV
Annales De L'Institut Fourier, Association Des Annales De L'Institut Fourier vol. 71 (2), 799-842.  
01-01-2021

2020

Relevant PublicationZero rest-mass fields and the Newman–Penrose constants on flat space
Gasperín E and Valiente Kroon JA
Journal of Mathematical Physics, Aip Publishing vol. 61 (12), 122503-122503.  
22-12-2020
Relevant PublicationEvolution equations for a wide range of Einstein-matter systems
Normann M and Valiente Kroon JA
General Relativity and Gravitation, Springer (Part of Springer Nature) vol. 52 (10) 
21-10-2020
Relevant PublicationRevisiting the characteristic initial value problem for the vacuum Einstein field equations
Hilditch D, Valiente Kroon JA and Zhao P
General Relativity and Gravitation, Springer (Part of Springer Nature) vol. 52 (10) 
01-10-2020
Relevant PublicationImproved existence for the characteristic initial value problem with the conformal Einstein field equations
Hilditch D, Valiente Kroon JA and Zhao P
General Relativity and Gravitation, Springer (Part of Springer Nature) vol. 52 (9) 
05-09-2020
Relevant PublicationProspects for fundamental physics with LISA
Barausse E, Berti E, Hertog T, Hughes SA, Jetzer P, Pani P, Sotiriou TP, Tamanini N, Witek H, Yagi K, Yunes N, Abdelsalhin T, Achucarro A, van Aelst K, Afshordi N, Akcay S, Annulli L, Arun KG, Ayuso I, Baibhav V, et al.
General Relativity and Gravitation, Springer (Part of Springer Nature) vol. 52 (8) 
31-08-2020

2019

Relevant PublicationConstruction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case
Carranza DA and Valiente Kroon JA
Classical and Quantum Gravity, Iop Publishing vol. 36 (21), 215010-215010.  
14-10-2019
Relevant PublicationConformal wave equations for the Einstein-tracefree matter system
Carranza DA, Hursit AE and Valiente Kroon JA
General Relativity and Gravitation vol. 51 (7) 
11-07-2019
Relevant PublicationA perturbative approach to the construction of initial data on compact manifolds
Valiente Kroon JA and Williams JL
Pure and Applied Mathematics Quarterly, International Press of Boston vol. 15 (3), 785-826.  
01-01-2019

2018

Relevant PublicationConstruction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the vacuum case
Carranza DA and Kroon JAV
Classical and Quantum Gravity vol. 35 (24) 
20-12-2018
Relevant PublicationKilling spinor data on distorted black hole horizons and the uniqueness of stationary vacuum black holes
VALIENTE KROON JA, COLE MJ and Racz I
Classical and Quantum Gravity, Iop Publishing vol. 35, 205001-205001.  
19-09-2018
Relevant PublicationKilling boundary data for anti-de Sitter-like spacetimes
Carranza DA and Kroon JAV
Classical and Quantum Gravity vol. 35 (15) 
09-08-2018
Relevant PublicationSpectral methods for the spin-2 equation near the cylinder at spatial infinity
Macedo RP and Kroon JAV
Classical and Quantum Gravity vol. 35 (12) 
21-05-2018
Relevant PublicationConformal geodesics in spherically symmetric vacuum spacetimes with cosmological constant
Garcia-Parrado Gomez-Lobo A, Gasperin E and Valiente Kroon JA
Classical and Quantum Gravity vol. 35 (4) 
22-02-2018

2017

Relevant PublicationThe Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
VALIENTE KROON JA, Alho A and Mena FC
Advances in Theoretical and Mathematical Physics, International Press of Boston vol. 21 (4), 857-899.  
10-10-2017
Relevant PublicationPolyhomogeneous expansions from time symmetric initial data
Gasperin E and Valiente Kroon JA
Classical and Quantum Gravity 
13-09-2017
Relevant PublicationA Geometric Invariant Characterising Initial Data for the Kerr–Newman Spacetime
VALIENTE KROON JA
Annales Henri Poincaré, Springer Verlag 
07-08-2017
Relevant PublicationDain's invariant on non-time symmetric initial data sets
Kroon JAV and Williams JL
Classical and Quantum Gravity vol. 34 (12) 
24-05-2017
Relevant PublicationPerturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime
VALIENTE KROON JA
Annales Henri Poincare, Springer Verlag (Germany) 
04-01-2017

2016

Relevant PublicationMathematical Problems of General Relativity
Valiente Kroon JA
In Analysis and Mathematical Physics, World Scientific Publishing 177-207.  
21-12-2016
Relevant PublicationConformal Methods in General Relativity
Kroon JAV
 
05-07-2016
Relevant PublicationKilling spinors as a characterisation of rotating black hole spacetimes
Cole MJ and Kroon JAV
Classical and Quantum Gravity, Iop Publishing: Hybrid Open Access vol. 33 (12) 
18-05-2016
Relevant PublicationOn the locally rotationally symmetric Einstein-Maxwell perfect fluid
Pugliese D and Kroon JAV
General Relativity and Gravitation, Springer Verlag (Germany) vol. 48 (6) 
17-05-2016
Relevant PublicationA formalism for the calculus of variations with spinors
Bäckdahl T and Kroon JAV
Journal of Mathematical Physics, Aip Publishing vol. 57 (2) 
12-01-2016

2015

Relevant PublicationSpinorial wave equations and stability of the Milne spacetime
Gasperín E and Kroon JAV
Classical and Quantum Gravity, Iop Publishing vol. 32 (18) 
02-09-2015

2014

Relevant PublicationIllusions and cloaks for surface waves.
McManus TM, Valiente-Kroon JA, Horsley SAR and Hao Y
Sci Rep vol. 4 
22-08-2014
Relevant PublicationSpherically symmetric anti-de Sitter-like Einstein-Yang-Mills spacetimes
Luebbe C and Kroon JAV
Physical Review D vol. 90 (2) 
01-01-2014
Relevant PublicationA Class of Conformal Curves in the Reissner-Nordstrom Spacetime
Luebbe C and Kroon JAV
Annales Henri Poincare vol. 15 (7), 1327-1366.  
01-01-2014
Relevant PublicationOn the conformal structure of the extremal Reissner-Nordstrom spacetime
Luebbe C and Kroon JAV
Classical and Quantum Gravity vol. 31 (17) 
01-01-2014
Relevant PublicationThe Conformal Einstein Field Equations for Trace-free Perfect Fluids
Lübbe C and Valiente Kroon JA
In Relativity and Gravitation, Springer Nature 137-143.  
01-01-2014
Relevant PublicationHow to Measure Deviation from the Kerr Initial Data: Recent Progress
Bäckdahl T and Valiente Kroon JA
In Relativity and Gravitation, Springer Nature 19-24.  
01-01-2014
Relevant PublicationA Class of Conformal Curves on Spherically Symmetric Spacetimes
Kroon JAV and Lübbe C
In Relativity and Gravitation, Springer Nature 239-245.  
01-01-2014

2013

Relevant PublicationA conformal approach for the analysis of the non-linear stability of radiation cosmologies
Luebbe C and Kroon J-AV
Annals of Physics vol. 328, 1-25.  
01-01-2013
Relevant PublicationOn the evolution equations for a self-gravitating charged scalar field
Pugliese D and Kroon JAV
General Relativity and Gravitation vol. 45 (6), 1247-1269.  
01-01-2013

2012

Relevant PublicationAsymptotic Simplicity and Static Data
Kroon JAV
Annales Henri Poincare vol. 13 (2), 363-397.  
01-01-2012
Relevant PublicationConstructing non-Kerrness on compact domains
Baeckdahl T and Kroon JAV
Journal of Mathematical Physics vol. 53 (4) 
01-01-2012
Relevant PublicationOn the evolution equations for ideal magnetohydrodynamics in curved spacetime
Pugliese D and Kroon JAV
General Relativity and Gravitation vol. 44 (11), 2785-2810.  
01-01-2012
Relevant PublicationThe extended conformal Einstein field equations with matter: The Einstein-Maxwell field
Luebbe C and Kroon JAV
Journal of Geometry and Physics vol. 62 (6), 1548-1570.  
01-01-2012

2011

Relevant PublicationThe 'non-Kerrness' of domains of outer communication of black holes and exteriors of stars
Backdahl T and Kroon JAV
P Roy Soc a-Math Phy vol. 467 (2130), 1701-1718.  
08-06-2011
Relevant PublicationApproximate twistors and positive mass
Backdahl T and Kroon JAV
Classical Quant Grav vol. 28 (7) 
07-04-2011
Relevant PublicationGeometric invariants for initial data sets: analysis, exact solutions, computer algebra, numerics
Kroon JAV
SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS. vol. 314 Editors: Aldaya V, Barcelo C and Jaramillo JL. 
01-01-2011
Relevant PublicationOn the non-linear stability of scalar field cosmologies
Alho A, Mena FC and Kroon JAV
SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS. vol. 314 Editors: Aldaya V, Barcelo C and Jaramillo JL. 
01-01-2011
Relevant PublicationConformal extensions for stationary spacetimes
Acena AE and Kroon JAV
Classical and Quantum Gravity vol. 28 (22) 
01-01-2011

2010

Relevant PublicationOn the Construction of a Geometric Invariant Measuring the Deviation from Kerr Data
Backdahl T and Kroon JAV
Ann Henri Poincare vol. 11 (7), 1225-1271.  
01-11-2010
Relevant PublicationA Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data
Kroon JAV
Commun Math Phys vol. 298 (3), 673-706.  
01-09-2010
Relevant PublicationA STABILITY RESULT FOR PURELY RADIATIVE SPACETIMES
Lubbe C and Kroon JAV
J Hyperbol Differ Eq vol. 7 (3), 545-579.  
01-09-2010
Relevant PublicationGeometric Invariant Measuring the Deviation from Kerr Data
Backdahl T and Kroon JAV
Phys Rev Lett vol. 104 (23) 
11-06-2010

2009

Relevant PublicationRegularity Conditions for Einstein's Equations at Spatial Infinity
Kroon JAV
Ann Henri Poincare vol. 10 (4), 623-671.  
01-07-2009
Relevant PublicationOn de Sitter-like and Minkowski-like spacetimes
Lübbe C and Kroon JAV
Classical and Quantum Gravity, Iop Publishing vol. 26 (14) 
26-06-2009
Relevant PublicationESTIMATES FOR THE MAXWELL FIELD NEAR THE SPATIAL AND NULL INFINITY OF THE SCHWARZSCHILD SPACETIME
Kroon JAV
J Hyperbol Differ Eq vol. 6 (2), 229-268.  
01-06-2009
Relevant PublicationKerr initial data
Gomez-Lobo AGP and Kroon JAV
PHYSICS AND MATHEMATICS OF GRAVITATION. vol. 1122, 276-279. Editors: Kunze KE, Mars M and VazquezMozo MA. 
01-01-2009

2008

Relevant PublicationKerr initial data
Gomez-Lobo AGP and Kroon JAV
Classical Quant Grav vol. 25 (20) 
21-10-2008
Relevant PublicationKilling spinor initial data sets
Gomez-Lobo AGP and Kroon JAV
J Geom Phys vol. 58 (9), 1186-1202.  
01-09-2008
Relevant PublicationFrom geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity
Jaramillo JL, Kroon JAV and Gourgoulhon E
Classical Quant Grav vol. 25 (9) 
07-05-2008

2007

Relevant PublicationThe Maxwell field on the Schwarzschild space-time: behaviour near spatial infinity
Antonio J and Kroon V
P R Soc A vol. 463 (2086), 2609-2630.  
08-10-2007
Relevant PublicationAsymptotic properties of the development of conformally flat data near spatial infinity
Kroon JAV
Classical Quant Grav vol. 24 (11), 3037-3053.  
07-06-2007
Relevant PublicationInitial data sets for the Schwarzschild spacetime
Gomez-Lobo AGP and Kroon JAV
Phys Rev D vol. 75 (2) 
01-01-2007

2006

Relevant PublicationOn smoothness-asymmetric null infinities
Kroon JAV
Classical Quant Grav vol. 23 (10), 3593-3606.  
21-05-2006
Relevant PublicationTHE SMOOTHNESS OF NULL INFINITY: ITS RELEVANCE FOR NUMERICAL RELATIVITY
VALIENTE KROON JA
The Tenth Marcel Grossmann Meeting., 1613-1615.  
01-02-2006
Relevant PublicationTHE NEWTONIAN LIMIT OF THE SPACETIMES DESCRIBING UNIFORMLY ACCELERATED PARTICLES
LAZKOZ R and KROON JAV
The Tenth Marcel Grossmann Meeting., 1953-1956.  
01-02-2006
Relevant PublicationA NEW CLASS OF OBSTRUCTIONS TO THE SMOOTHNESS OF NULL INFINITY
KROON JAV
The Tenth Marcel Grossmann Meeting., 1838-1841.  
01-02-2006

2005

Relevant PublicationCharacterization of Schwarzschildean initial data
Kroon JAV
Phys Rev D vol. 72 (8) 
01-10-2005
Relevant PublicationTime asymmetric spacetimes near null and spatial infinity: II. Expansions of developments of initial data sets with non-smooth conformal metrics
Kroon JAV
Classical Quant Grav vol. 22 (9), 1683-1707.  
07-05-2005

2004

Relevant PublicationTime asymmetric spacetimes near null and spatial infinity: I. Expansions of developments of conformally flat data
Kroon JAV
Classical Quant Grav vol. 21 (23), 5457-5492.  
07-12-2004
Relevant PublicationDoes asymptotic simplicity allow for radiation near spatial infinity?
Kroon JAV
Commun Math Phys vol. 251 (2), 211-234.  
01-11-2004
Relevant PublicationAsymptotic expansions of the Cotton-York tensor on slices of stationary spacetimes
Kroon JAV
Classical Quant Grav vol. 21 (13), 3237-3249.  
07-07-2004
Relevant PublicationThe Newtonian limit of space-times describing uniformly accelerated particles
Lazkoz R and Kroon JAV
P Roy Soc Lond a Mat vol. 460 (2044), 995-1016.  
08-04-2004
Relevant PublicationNonexistence of conformally flat slices in Kerr and other stationary spacetimes
Kroon JAV
Phys Rev Lett vol. 92 (4) 
30-01-2004
Relevant PublicationA new class of obstructions to the smoothness of null infinity
Kroon JAV
Commun Math Phys vol. 244 (1), 133-156.  
01-01-2004

2003

Relevant PublicationGravitational waves
Lazkoz R and Kroon JAV
Rev Mex Fis vol. 49 (4), 384-390.  
01-08-2003
Relevant PublicationEarly radiative properties of the developments of time-symmetric conformally flat initial data
Kroon JAV
Classical Quant Grav vol. 20 (5), L53-L59.  
07-03-2003

2002

Relevant PublicationConserved quantities in a black hole collision
Dain S and Valiente-Kroon JA
Classical Quant Grav vol. 19 (4), 811-815.  
21-02-2002
Relevant PublicationPolyhomogeneous expansions close to null and spatial infinity
Kroon JAV
CONFORMAL STRUCTURE OF SPACE-TIME: GEOMETRY, ANALYSIS, NUMERICS. vol. 604, 135-159. Editors: Frauendiener J and Friedrich H. 
01-01-2002

2001

Relevant PublicationCan one detect a non-smooth null infinity?
Kroon JAV
Classical Quant Grav vol. 18 (20), 4311-4316.  
21-10-2001
Relevant PublicationON RADIATIVE PROPERTIES OF BOOST-ROTATION SYMMETRIC, TYPE D SPACETIMES
LAZKOZ SAEZ R and VALIENTE KROON JA
Reference Frames and Gravitomagnetism., 327-332.  
01-07-2001

Grants

solid heart iconGrants of specific relevance to the Centre for Geometry, Analysis and Gravitation
solid heart iconInternational exchange with the Chinese Academy of Sciences: Geometric scattering methods for the conformal Einstein field equations
Juan A. Valiente Kroon
£12,000 Royal Society
01-01-2025 - 31-12-2026
solid heart iconAstronomy Research at Queen Mary 2023 - 2026
Chris Clarkson, Richard Nelson, Timothy Clifton, William Sutherland, Edward Gillen, Karim Malik, Thomas Haworth, Sijme-Jan Paardekooper, Theresa Baker, David Mulryne, Philip Bull, Juan A. Valiente Kroon, Charalampos Markakis, Mohammad Mahdi Godazgar, Katy Clough, Pau Figueras and Arick Shao
£1,625,769 Science & Technology Research Council (STFC)
01-04-2023 - 30-09-2026


solid heart iconGravitational Memory Effects: From Theory to Observation
Juan A. Valiente Kroon
£10,750 Gravity Theory Trust
01-06-2023 - 30-06-2023
solid heart iconGeometric scattering methods for the conformal Einstein field equations
Juan A. Valiente Kroon
£80,353 EPSRC Engineering and Physical Sciences Research Council
01-05-2023 - 30-04-2024
solid heart iconLMS research in pair - Dr Edgar Gasperin
Juan A. Valiente Kroon
£1,200 London Mathematical Society (LMS)
01-03-2023 - 30-09-2023
solid heart iconAstronomy Research at Queen Mary 2020 - 2023
Karim Malik, Philip Bull, Chris Clarkson, Timothy Clifton, Richard Nelson, Sijme-Jan Paardekooper and Juan A. Valiente Kroon
£1,868,745 Science & Technology Research Council (STFC)
01-04-2020 - 31-03-2024
solid heart iconVisit of Dr Hildith
Juan A. Valiente Kroon
£1,000 London Mathematical Society (LMS)
01-12-2017 - 31-03-2018