Dr Juan A. Valiente Kroon

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

Reader in Applied Mathematics
Director of Research

School of Mathematical Sciences
Queen Mary University of London
ORCID X

Research

Mathematical General Relativity

Interests

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

Publications

Relevant PublicationPublications of specific relevance to the Centre for Geometry, Analysis and Gravitation

2023

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

2022

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

2021

Relevant PublicationGasperín E and Kroon JAV (2021). Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime. Classical and Quantum Gravity vol. 39 (1), 015014-015014.  
08-12-2021
Relevant PublicationZhao P, Hilditch D and Kroon JAV (2021). The conformal Einstein field equations and the local extension of future null infinity. Journal of Mathematical Physics vol. 62 (10), 102501-102501.  
01-10-2021
Relevant PublicationAli Mohamed MM and Valiente Kroon JA (2021). A comparison of Ashtekar’s and Friedrich’s formalisms of spatial infinity. Classical and Quantum Gravity vol. 38 (16), 165015-165015.  
28-07-2021
Relevant PublicationMinucci M and Valiente Kroon JA (2021). A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature. Classical and Quantum Gravity, IOP Publishing vol. 38 (14), 145026-145026.  
17-06-2021
Relevant PublicationJoudioux J, Thaller M and Valiente Kroon JA (2021). The conformal Einstein field equations with massless Vlasov matter. Annales de l’institut Fourier, 1-44.  
07-06-2021
Relevant PublicationKopiński J and Kroon JAV (2021). New spinorial approach to mass inequalities for black holes in general relativity. Physical Review D, American Physical Society vol. 103 (2), 024057-024057.  
15-01-2021
Relevant PublicationJoudioux J, Thaller M and Kroon JAV (2021). THE CONFORMAL EINSTEIN FIELD EQUATIONS WITH MASSLESS VLASOV MATTER. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier vol. 71 (2), 799-842.  
01-01-2021

2020

Relevant PublicationGasperín E and Valiente Kroon JA (2020). Zero rest-mass fields and the Newman–Penrose constants on flat space. Journal of Mathematical Physics, AIP Publishing vol. 61 (12), 122503-122503.  
22-12-2020
Relevant PublicationNormann M and Valiente Kroon JA (2020). Evolution equations for a wide range of Einstein-matter systems. General Relativity and Gravitation, Springer (part of Springer Nature) vol. 52 (10) 
21-10-2020
Relevant PublicationHilditch D, Valiente Kroon JA and Zhao P (2020). Revisiting the characteristic initial value problem for the vacuum Einstein field equations. General Relativity and Gravitation, Springer (part of Springer Nature) vol. 52 (10) 
01-10-2020
Relevant PublicationHilditch D, Valiente Kroon JA and Zhao P (2020). Improved existence for the characteristic initial value problem with the conformal Einstein field equations. General Relativity and Gravitation, Springer (part of Springer Nature) vol. 52 (9) 
05-09-2020
Relevant PublicationBarausse 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. (2020). Prospects for fundamental physics with LISA. General Relativity and Gravitation, Springer (part of Springer Nature) vol. 52 (8) 
31-08-2020

2019

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

2018

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

2017

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

2016

Relevant PublicationValiente Kroon JA (2016). Mathematical Problems of General Relativity. Analysis and Mathematical Physics  177-207.  
21-12-2016
Relevant PublicationKroon JAV (2016). Conformal Methods in General Relativity. 
05-07-2016
Relevant PublicationCole MJ and Kroon JAV (2016). Killing spinors as a characterisation of rotating black hole spacetimes. Classical and Quantum Gravity, IOP Publishing: Hybrid Open Access vol. 33 (12) 
18-05-2016
Relevant PublicationPugliese D and Kroon JAV (2016). On the locally rotationally symmetric Einstein-Maxwell perfect fluid. General Relativity and Gravitation, Springer Verlag (Germany) vol. 48 (6) 
17-05-2016
Relevant PublicationBäckdahl T and Valiente Kroon JA (2016). A formalism for the calculus of variations with spinors. Journal of Mathematical Physics, AIP Publishing vol. 57 (2) 
12-01-2016

2015

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

2014

Relevant PublicationMcManus TM, Valiente-Kroon JA, Horsley SAR and Hao Y (2014). Illusions and cloaks for surface waves. Sci Rep vol. 4 
22-08-2014
Relevant PublicationLuebbe C and Kroon JAV (2014). Spherically symmetric anti-de Sitter-like Einstein-Yang-Mills spacetimes. PHYSICAL REVIEW D vol. 90 (2) 
01-01-2014
Relevant PublicationLuebbe C and Kroon JAV (2014). A Class of Conformal Curves in the Reissner-Nordstrom Spacetime. ANNALES HENRI POINCARE vol. 15 (7), 1327-1366.  
01-01-2014
Relevant PublicationLuebbe C and Kroon JAV (2014). On the conformal structure of the extremal Reissner-Nordstrom spacetime. CLASSICAL AND QUANTUM GRAVITY vol. 31 (17) 
01-01-2014
Relevant PublicationLübbe C and Valiente Kroon JA (2014). The Conformal Einstein Field Equations for Trace-free Perfect Fluids. Relativity and Gravitation  137-143.  
01-01-2014
Relevant PublicationBäckdahl T and Valiente Kroon JA (2014). How to Measure Deviation from the Kerr Initial Data: Recent Progress. Relativity and Gravitation  19-24.  
01-01-2014
Relevant PublicationKroon JAV and Lübbe C (2014). A Class of Conformal Curves on Spherically Symmetric Spacetimes. Relativity and Gravitation  239-245.  
01-01-2014

2013

Relevant PublicationLuebbe C and Kroon J-AV (2013). A conformal approach for the analysis of the non-linear stability of radiation cosmologies. ANNALS OF PHYSICS vol. 328, 1-25.  
01-01-2013
Relevant PublicationPugliese D and Kroon JAV (2013). On the evolution equations for a self-gravitating charged scalar field. GENERAL RELATIVITY AND GRAVITATION vol. 45 (6), 1247-1269.  
01-01-2013

2012

Relevant PublicationKroon JAV (2012). Asymptotic Simplicity and Static Data. ANNALES HENRI POINCARE vol. 13 (2), 363-397.  
01-01-2012
Relevant PublicationBaeckdahl T and Kroon JAV (2012). Constructing non-Kerrness on compact domains. JOURNAL OF MATHEMATICAL PHYSICS vol. 53 (4) 
01-01-2012
Relevant PublicationPugliese D and Kroon JAV (2012). On the evolution equations for ideal magnetohydrodynamics in curved spacetime. GENERAL RELATIVITY AND GRAVITATION vol. 44 (11), 2785-2810.  
01-01-2012
Relevant PublicationLuebbe C and Kroon JAV (2012). The extended conformal Einstein field equations with matter: The Einstein-Maxwell field. JOURNAL OF GEOMETRY AND PHYSICS vol. 62 (6), 1548-1570.  
01-01-2012

2011

Relevant PublicationBackdahl T and Kroon JAV (2011). The 'non-Kerrness' of domains of outer communication of black holes and exteriors of stars. P ROY SOC A-MATH PHY vol. 467 (2130), 1701-1718.  
08-06-2011
Relevant PublicationBackdahl T and Kroon JAV (2011). Approximate twistors and positive mass. CLASSICAL QUANT GRAV vol. 28 (7) 
07-04-2011
Relevant PublicationKroon JAV (2011). Geometric invariants for initial data sets: analysis, exact solutions, computer algebra, numerics., Editors: Aldaya V, Barcelo C and Jaramillo JL. 
01-01-2011
Relevant PublicationAlho A, Mena FC and Kroon JAV (2011). On the non-linear stability of scalar field cosmologies., Editors: Aldaya V, Barcelo C and Jaramillo JL. 
01-01-2011
Relevant PublicationAcena AE and Kroon JAV (2011). Conformal extensions for stationary spacetimes. CLASSICAL AND QUANTUM GRAVITY vol. 28 (22) 
01-01-2011

2010

Relevant PublicationBackdahl T and Kroon JAV (2010). On the Construction of a Geometric Invariant Measuring the Deviation from Kerr Data. ANN HENRI POINCARE vol. 11 (7), 1225-1271.  
01-11-2010
Relevant PublicationKroon JAV (2010). A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data. COMMUN MATH PHYS vol. 298 (3), 673-706.  
01-09-2010
Relevant PublicationLubbe C and Kroon JAV (2010). A STABILITY RESULT FOR PURELY RADIATIVE SPACETIMES. J HYPERBOL DIFFER EQ vol. 7 (3), 545-579.  
01-09-2010
Relevant PublicationBackdahl T and Kroon JAV (2010). Geometric Invariant Measuring the Deviation from Kerr Data. PHYS REV LETT vol. 104 (23) 
11-06-2010

2009

Relevant PublicationKroon JAV (2009). Regularity Conditions for Einstein's Equations at Spatial Infinity. ANN HENRI POINCARE vol. 10 (4), 623-671.  
01-07-2009
Relevant PublicationLübbe C and Kroon JAV (2009). On de Sitter-like and Minkowski-like spacetimes. Classical and Quantum Gravity, IOP Publishing vol. 26 (14) 
26-06-2009
Relevant PublicationKroon JAV (2009). ESTIMATES FOR THE MAXWELL FIELD NEAR THE SPATIAL AND NULL INFINITY OF THE SCHWARZSCHILD SPACETIME. J HYPERBOL DIFFER EQ vol. 6 (2), 229-268.  
01-06-2009
Relevant PublicationGomez-Lobo AGP and Kroon JAV (2009). Kerr initial data., Editors: Kunze KE, Mars M and VazquezMozo MA. 
01-01-2009

2008

Relevant PublicationGomez-Lobo AGP and Kroon JAV (2008). Kerr initial data. CLASSICAL QUANT GRAV vol. 25 (20) 
21-10-2008
Relevant PublicationGomez-Lobo AGP and Kroon JAV (2008). Killing spinor initial data sets. J GEOM PHYS vol. 58 (9), 1186-1202.  
01-09-2008
Relevant PublicationJaramillo JL, Kroon JAV and Gourgoulhon E (2008). From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity. CLASSICAL QUANT GRAV vol. 25 (9) 
07-05-2008

2007

Relevant PublicationAntonio J and Kroon V (2007). The Maxwell field on the Schwarzschild space-time: behaviour near spatial infinity. P R SOC A vol. 463 (2086), 2609-2630.  
08-10-2007
Relevant PublicationKroon JAV (2007). Asymptotic properties of the development of conformally flat data near spatial infinity. CLASSICAL QUANT GRAV vol. 24 (11), 3037-3053.  
07-06-2007
Relevant PublicationGomez-Lobo AGP and Kroon JAV (2007). Initial data sets for the Schwarzschild spacetime. PHYS REV D vol. 75 (2) 
01-01-2007

2006

Relevant PublicationKroon JAV (2006). On smoothness-asymmetric null infinities. CLASSICAL QUANT GRAV vol. 23 (10), 3593-3606.  
21-05-2006
Relevant PublicationVALIENTE KROON JA (2006). THE SMOOTHNESS OF NULL INFINITY: ITS RELEVANCE FOR NUMERICAL RELATIVITY. The Tenth Marcel Grossmann Meeting
01-02-2006
Relevant PublicationLAZKOZ R and KROON JAV (2006). THE NEWTONIAN LIMIT OF THE SPACETIMES DESCRIBING UNIFORMLY ACCELERATED PARTICLES. The Tenth Marcel Grossmann Meeting
01-02-2006
Relevant PublicationKROON JAV (2006). A NEW CLASS OF OBSTRUCTIONS TO THE SMOOTHNESS OF NULL INFINITY. The Tenth Marcel Grossmann Meeting
01-02-2006

2005

Relevant PublicationKroon JAV (2005). Characterization of Schwarzschildean initial data. PHYS REV D vol. 72 (8) 
01-10-2005
Relevant PublicationKroon JAV (2005). Time asymmetric spacetimes near null and spatial infinity: II. Expansions of developments of initial data sets with non-smooth conformal metrics. CLASSICAL QUANT GRAV vol. 22 (9), 1683-1707.  
07-05-2005

2004

Relevant PublicationKroon JAV (2004). Time asymmetric spacetimes near null and spatial infinity: I. Expansions of developments of conformally flat data. CLASSICAL QUANT GRAV vol. 21 (23), 5457-5492.  
07-12-2004
Relevant PublicationKroon JAV (2004). Does asymptotic simplicity allow for radiation near spatial infinity? COMMUN MATH PHYS vol. 251 (2), 211-234.  
01-11-2004
Relevant PublicationKroon JAV (2004). Asymptotic expansions of the Cotton-York tensor on slices of stationary spacetimes. CLASSICAL QUANT GRAV vol. 21 (13), 3237-3249.  
07-07-2004
Relevant PublicationLazkoz R and Kroon JAV (2004). The Newtonian limit of space-times describing uniformly accelerated particles. P ROY SOC LOND A MAT vol. 460 (2044), 995-1016.  
08-04-2004
Relevant PublicationKroon JAV (2004). Nonexistence of conformally flat slices in Kerr and other stationary spacetimes. PHYS REV LETT vol. 92 (4) 
30-01-2004
Relevant PublicationKroon JAV (2004). A new class of obstructions to the smoothness of null infinity. COMMUN MATH PHYS vol. 244 (1), 133-156.  
01-01-2004

2003

Relevant PublicationLazkoz R and Kroon JAV (2003). Gravitational waves. REV MEX FIS vol. 49 (4), 384-390.  
01-08-2003
Relevant PublicationKroon JAV (2003). Early radiative properties of the developments of time-symmetric conformally flat initial data. CLASSICAL QUANT GRAV vol. 20 (5), L53-L59.  
07-03-2003

2002

Relevant PublicationDain S and Valiente-Kroon JA (2002). Conserved quantities in a black hole collision. CLASSICAL QUANT GRAV vol. 19 (4), 811-815.  
21-02-2002
Relevant PublicationKroon JAV (2002). Polyhomogeneous expansions close to null and spatial infinity., Editors: Frauendiener J and Friedrich H. 
01-01-2002

2001

Relevant PublicationKroon JAV (2001). Can one detect a non-smooth null infinity? CLASSICAL QUANT GRAV vol. 18 (20), 4311-4316.  
21-10-2001
Relevant PublicationLAZKOZ SAEZ R and VALIENTE KROON JA (2001). ON RADIATIVE PROPERTIES OF BOOST-ROTATION SYMMETRIC, TYPE D SPACETIMES. Reference Frames and Gravitomagnetism
01-07-2001

Grants

solid heart iconGrants of specific relevance to the Centre for Geometry, Analysis and Gravitation
solid heart iconAstronomy Research at Queen Mary 2023 - 2026
Christopher Clarkson, Richard Nelson, Timothy Clifton, William Sutherland, Edward Gillen, Karim Malik, Thomas James Haworth, Sijme-Jan Paardekooper, Theresa Baker, David Mulryne, Philip Bull, Juan Antonio Valiente Kroon, Charalampos Markakis, Mohammad Mahdi Godazgar, Katherine Clough, Pau Figueras and Chung Tse Shao
£1,625,769 Science & Technology Research Council (STFC) (01-04-2023 - 30-09-2026)


solid heart iconGeometric scattering methods for the conformal Einstein field equations
Juan Antonio Valiente Kroon
£80,353 EPSRC Engineering and Physical Sciences Research Council (01-05-2023 - 30-04-2024)
solid heart iconAstronomy Research at Queen Mary 2020 - 2023
Karim Malik, Philip Bull, Christopher Clarkson, Timothy Clifton, Richard Nelson, Sijme-Jan Paardekooper and Juan Antonio Valiente Kroon
£1,868,745 Science & Technology Research Council (STFC) (01-04-2020 - 31-03-2024)
solid heart iconLMS research in pair - Dr Edgar Gasperin
Juan Antonio Valiente Kroon
£1,200 London Mathematical Society (LMS) (01-03-2023 - 30-09-2023)