Prof Juan A. Valiente Kroon
PhD, MIoP, MLMS, FHEAProfessor in Applied Mathematics and Mathematical Physics
Director of Research
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
Mathematical General Relativity, Computer Algebra
Interests
Conformal methods, spinors, applications of PDE theory to Relativity.Publications
2024
Kopiński J, Soria A and Kroon JAV (2024). New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface. Journal of Mathematical Physics, AIP Publishing vol. 65 (4)
01-04-2024
01-04-2024
Mohamed MMA, Prabhu K and Kroon JAV (2024). BMS-supertranslation charges at the critical sets of null infinity. Journal of Mathematical Physics, AIP Publishing vol. 65 (3)
01-03-2024
01-03-2024
Taujanskas G and Kroon JAV (2024). At the interface of asymptotics, conformal methods and analysis in general relativity. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, The Royal Society vol. 382 (2267)
15-01-2024
15-01-2024
2023
Minucci 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
20-07-2023
Sansom 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
27-04-2023
2022
Kopiński 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
20-10-2022
Minucci 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
29-08-2022
Beheshti 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
14-06-2022
Magdy 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
02-05-2022
2021
Gasperín 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
08-12-2021
Zhao 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
01-10-2021
Ali 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
28-07-2021
Minucci 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
17-06-2021
Joudioux 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
07-06-2021
Kopiński 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
15-01-2021
Joudioux 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
01-01-2021
2020
Gasperín 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
22-12-2020
Normann 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
21-10-2020
Hilditch 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
01-10-2020
Hilditch 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
05-09-2020
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. (2020). Prospects for fundamental physics with LISA. General Relativity and Gravitation, Springer (part of Springer Nature) vol. 52 (8)
31-08-2020
31-08-2020
2019
Carranza 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
14-10-2019
Carranza 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
11-07-2019
Valiente 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
01-01-2019
2018
Carranza 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
20-12-2018
VALIENTE 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
19-09-2018
Carranza DA and Kroon JAV (2018). Killing boundary data for anti-de Sitter-like spacetimes. CLASSICAL AND QUANTUM GRAVITY vol. 35 (15)
09-08-2018
09-08-2018
Macedo 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
21-05-2018
Garcia-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
22-02-2018
2017
VALIENTE 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
10-10-2017
Gasperin E and Valiente Kroon JA (2017). Polyhomogeneous expansions from time symmetric initial data. Classical and Quantum Gravity
13-09-2017
13-09-2017
VALIENTE KROON JA (2017). A Geometric Invariant Characterising Initial Data for the Kerr–Newman Spacetime. Annales Henri Poincaré, Springer Verlag
07-08-2017
07-08-2017
Kroon 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
24-05-2017
VALIENTE KROON JA (2017). Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime. Annales Henri Poincare, Springer Verlag (Germany)
04-01-2017
04-01-2017
2016
Valiente Kroon JA (2016). Mathematical Problems of General Relativity. Analysis and Mathematical Physics 177-207.
21-12-2016
21-12-2016
Cole 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
18-05-2016
Pugliese 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
17-05-2016
Bäckdahl T and Kroon JAV (2016). A formalism for the calculus of variations with spinors. Journal of Mathematical Physics, AIP Publishing vol. 57 (2)
12-01-2016
12-01-2016
2015
Gasperín 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
02-09-2015
2014
McManus TM, Valiente-Kroon JA, Horsley SAR and Hao Y (2014). Illusions and cloaks for surface waves. Sci Rep vol. 4
22-08-2014
22-08-2014
Luebbe C and Kroon JAV (2014). Spherically symmetric anti-de Sitter-like Einstein-Yang-Mills spacetimes. PHYSICAL REVIEW D vol. 90 (2)
01-01-2014
01-01-2014
Luebbe 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
01-01-2014
Luebbe 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
01-01-2014
Lübbe C and Valiente Kroon JA (2014). The Conformal Einstein Field Equations for Trace-free Perfect Fluids. Relativity and Gravitation 137-143.
01-01-2014
01-01-2014
Bäckdahl 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
01-01-2014
Kroon JAV and Lübbe C (2014). A Class of Conformal Curves on Spherically Symmetric Spacetimes. Relativity and Gravitation 239-245.
01-01-2014
01-01-2014
2013
Luebbe 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
01-01-2013
Pugliese 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
01-01-2013
2012
Kroon JAV (2012). Asymptotic Simplicity and Static Data. ANNALES HENRI POINCARE vol. 13 (2), 363-397.
01-01-2012
01-01-2012
Baeckdahl T and Kroon JAV (2012). Constructing non-Kerrness on compact domains. JOURNAL OF MATHEMATICAL PHYSICS vol. 53 (4)
01-01-2012
01-01-2012
Luebbe 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
01-01-2012
Pugliese 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
01-01-2012
2011
Backdahl 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
08-06-2011
Backdahl T and Kroon JAV (2011). Approximate twistors and positive mass. CLASSICAL QUANT GRAV vol. 28 (7)
07-04-2011
07-04-2011
Kroon 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
01-01-2011
Alho 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
01-01-2011
Acena AE and Kroon JAV (2011). Conformal extensions for stationary spacetimes. CLASSICAL AND QUANTUM GRAVITY vol. 28 (22)
01-01-2011
01-01-2011
2010
Backdahl 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
01-11-2010
Kroon 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
01-09-2010
Lubbe C and Kroon JAV (2010). A STABILITY RESULT FOR PURELY RADIATIVE SPACETIMES. J HYPERBOL DIFFER EQ vol. 7 (3), 545-579.
01-09-2010
01-09-2010
Backdahl T and Kroon JAV (2010). Geometric Invariant Measuring the Deviation from Kerr Data. PHYS REV LETT vol. 104 (23)
11-06-2010
11-06-2010
2009
Kroon JAV (2009). Regularity Conditions for Einstein's Equations at Spatial Infinity. ANN HENRI POINCARE vol. 10 (4), 623-671.
01-07-2009
01-07-2009
Lübbe 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
26-06-2009
Kroon 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
01-06-2009
Gomez-Lobo AGP and Kroon JAV (2009). Kerr initial data., Editors: Kunze KE, Mars M and VazquezMozo MA.
01-01-2009
01-01-2009
2008
Gomez-Lobo AGP and Kroon JAV (2008). Kerr initial data. CLASSICAL QUANT GRAV vol. 25 (20)
21-10-2008
21-10-2008
Gomez-Lobo AGP and Kroon JAV (2008). Killing spinor initial data sets. J GEOM PHYS vol. 58 (9), 1186-1202.
01-09-2008
01-09-2008
Jaramillo 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
07-05-2008
2007
Antonio 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
08-10-2007
Kroon 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
07-06-2007
Gomez-Lobo AGP and Kroon JAV (2007). Initial data sets for the Schwarzschild spacetime. PHYS REV D vol. 75 (2)
01-01-2007
01-01-2007
2006
Kroon JAV (2006). On smoothness-asymmetric null infinities. CLASSICAL QUANT GRAV vol. 23 (10), 3593-3606.
21-05-2006
21-05-2006
VALIENTE KROON JA (2006). THE SMOOTHNESS OF NULL INFINITY: ITS RELEVANCE FOR NUMERICAL RELATIVITY. The Tenth Marcel Grossmann Meeting.
01-02-2006
01-02-2006
LAZKOZ R and KROON JAV (2006). THE NEWTONIAN LIMIT OF THE SPACETIMES DESCRIBING UNIFORMLY ACCELERATED PARTICLES. The Tenth Marcel Grossmann Meeting.
01-02-2006
01-02-2006
KROON JAV (2006). A NEW CLASS OF OBSTRUCTIONS TO THE SMOOTHNESS OF NULL INFINITY. The Tenth Marcel Grossmann Meeting.
01-02-2006
01-02-2006
2005
Kroon JAV (2005). Characterization of Schwarzschildean initial data. PHYS REV D vol. 72 (8)
01-10-2005
01-10-2005
Kroon 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
07-05-2005
2004
Kroon 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
07-12-2004
Kroon JAV (2004). Does asymptotic simplicity allow for radiation near spatial infinity? COMMUN MATH PHYS vol. 251 (2), 211-234.
01-11-2004
01-11-2004
Kroon 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
07-07-2004
Lazkoz 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
08-04-2004
Kroon JAV (2004). Nonexistence of conformally flat slices in Kerr and other stationary spacetimes. PHYS REV LETT vol. 92 (4)
30-01-2004
30-01-2004
Kroon JAV (2004). A new class of obstructions to the smoothness of null infinity. COMMUN MATH PHYS vol. 244 (1), 133-156.
01-01-2004
01-01-2004
2003
Kroon 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
07-03-2003
2002
Dain S and Valiente-Kroon JA (2002). Conserved quantities in a black hole collision. CLASSICAL QUANT GRAV vol. 19 (4), 811-815.
21-02-2002
21-02-2002
Kroon JAV (2002). Polyhomogeneous expansions close to null and spatial infinity., Editors: Frauendiener J and Friedrich H.
01-01-2002
01-01-2002
2001
Kroon JAV (2001). Can one detect a non-smooth null infinity? CLASSICAL QUANT GRAV vol. 18 (20), 4311-4316.
21-10-2001
21-10-2001
LAZKOZ SAEZ R and VALIENTE KROON JA (2001). ON RADIATIVE PROPERTIES OF BOOST-ROTATION SYMMETRIC, TYPE D SPACETIMES. Reference Frames and Gravitomagnetism.
01-07-2001
01-07-2001
Grants
Astronomy 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)
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)
Geometric 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)
Juan Antonio Valiente Kroon
£80,353 EPSRC Engineering and Physical Sciences Research Council (01-05-2023 - 30-04-2024)
LMS research in pair - Dr Edgar Gasperin
Juan Antonio Valiente Kroon
£1,200 London Mathematical Society (LMS) (01-03-2023 - 30-09-2023)
Juan Antonio Valiente Kroon
£1,200 London Mathematical Society (LMS) (01-03-2023 - 30-09-2023)
Astronomy 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)
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)