Research
Mathematical General Relativity
Interests
Conformal methods, spinors, applications of PDE theory to Relativity.
Publications
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Publications of specific relevance to the Centre for Geometry, Analysis and Gravitation
2023
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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![Relevant Publication](/common/publications/images/fav.png)
Sansom R and
Kroon JAV (2023).
Dain’s invariant for black hole initial data. Classical and Quantum Gravity,
IOP Publishing vol. 40 (11)
27-04-20232022
Kroon JAV (2022).
Conformal Methods in General Relativity. 04-11-2022![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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)
02-05-20222021
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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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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.
01-01-20212020
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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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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)
31-08-20202019
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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![Relevant Publication](/common/publications/images/fav.png)
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
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.
01-01-20192018
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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
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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)
22-02-20182017
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![Relevant Publication](/common/publications/images/fav.png)
Gasperin E and
Valiente Kroon JA (2017).
Polyhomogeneous expansions from time symmetric initial data. Classical and Quantum Gravity 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
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
VALIENTE KROON JA (2017).
Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime. Annales Henri Poincare,
Springer Verlag (Germany) 04-01-20172016
Valiente Kroon JA (2016).
Mathematical Problems of General Relativity. Analysis and Mathematical Physics 177-207.
21-12-2016
Kroon JAV (2016).
Conformal Methods in General Relativity. 05-07-2016![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
Bäckdahl T and
Valiente Kroon JA (2016).
A formalism for the calculus of variations with spinors. Journal of Mathematical Physics,
AIP Publishing vol. 57 (2)
12-01-20162015
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Gasperín E and
Kroon JAV (2015).
Spinorial wave equations and stability of the Milne spacetime. Classical and Quantum Gravity,
IOP Publishing vol. 32 (18)
02-09-20152014
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McManus TM,
Valiente-Kroon JA, Horsley SAR and
Hao Y (2014).
Illusions and cloaks for surface waves. Sci Rep vol. 4
22-08-2014![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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
Kroon JAV and Lübbe C (2014).
A Class of Conformal Curves on Spherically Symmetric Spacetimes. Relativity and Gravitation 239-245.
01-01-20142013
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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![Relevant Publication](/common/publications/images/fav.png)
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.
01-01-20132012
Kroon JAV (2012).
Asymptotic Simplicity and Static Data. ANNALES HENRI POINCARE vol. 13 (2), 363-397.
01-01-2012![Relevant Publication](/common/publications/images/fav.png)
Baeckdahl T and
Kroon JAV (2012).
Constructing non-Kerrness on compact domains. JOURNAL OF MATHEMATICAL PHYSICS vol. 53 (4)
01-01-2012![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
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.
01-01-20122011
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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![Relevant Publication](/common/publications/images/fav.png)
Backdahl T and
Kroon JAV (2011).
Approximate twistors and positive mass. CLASSICAL QUANT GRAV vol. 28 (7)
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
Acena AE and
Kroon JAV (2011).
Conformal extensions for stationary spacetimes. CLASSICAL AND QUANTUM GRAVITY vol. 28 (22)
01-01-20112010
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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
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![Relevant Publication](/common/publications/images/fav.png)
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![Relevant Publication](/common/publications/images/fav.png)
Backdahl T and
Kroon JAV (2010).
Geometric Invariant Measuring the Deviation from Kerr Data. PHYS REV LETT vol. 104 (23)
11-06-20102009
Kroon JAV (2009).
Regularity Conditions for Einstein's Equations at Spatial Infinity. ANN HENRI POINCARE vol. 10 (4), 623-671.
01-07-2009![Relevant Publication](/common/publications/images/fav.png)
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
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![Relevant Publication](/common/publications/images/fav.png)
Gomez-Lobo AGP and
Kroon JAV (2009).
Kerr initial data., Editors: Kunze KE, Mars M and VazquezMozo MA.
01-01-20092008
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Gomez-Lobo AGP and
Kroon JAV (2008).
Kerr initial data. CLASSICAL QUANT GRAV vol. 25 (20)
21-10-2008![Relevant Publication](/common/publications/images/fav.png)
Gomez-Lobo AGP and
Kroon JAV (2008).
Killing spinor initial data sets. J GEOM PHYS vol. 58 (9), 1186-1202.
01-09-2008![Relevant Publication](/common/publications/images/fav.png)
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)
07-05-20082007
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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
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![Relevant Publication](/common/publications/images/fav.png)
Gomez-Lobo AGP and
Kroon JAV (2007).
Initial data sets for the Schwarzschild spacetime. PHYS REV D vol. 75 (2)
01-01-20072006
Kroon JAV (2006).
On smoothness-asymmetric null infinities. CLASSICAL QUANT GRAV vol. 23 (10), 3593-3606.
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![Relevant Publication](/common/publications/images/fav.png)
LAZKOZ R and
KROON JAV (2006).
THE NEWTONIAN LIMIT OF THE SPACETIMES DESCRIBING UNIFORMLY ACCELERATED PARTICLES. The Tenth Marcel Grossmann Meeting.
01-02-2006
KROON JAV (2006).
A NEW CLASS OF OBSTRUCTIONS TO THE SMOOTHNESS OF NULL INFINITY. The Tenth Marcel Grossmann Meeting.
01-02-20062005
Kroon JAV (2005).
Characterization of Schwarzschildean initial data. PHYS REV D vol. 72 (8)
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.
07-05-20052004
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
Kroon JAV (2004).
Does asymptotic simplicity allow for radiation near spatial infinity? COMMUN MATH PHYS vol. 251 (2), 211-234.
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![Relevant Publication](/common/publications/images/fav.png)
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
Kroon JAV (2004).
Nonexistence of conformally flat slices in Kerr and other stationary spacetimes. PHYS REV LETT vol. 92 (4)
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.
01-01-20042003
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Lazkoz R and
Kroon JAV (2003).
Gravitational waves. REV MEX FIS vol. 49 (4), 384-390.
01-08-2003
Kroon JAV (2003).
Early radiative properties of the developments of time-symmetric conformally flat initial data. CLASSICAL QUANT GRAV vol. 20 (5), L53-L59.
07-03-20032002
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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
Kroon JAV (2002).
Polyhomogeneous expansions close to null and spatial infinity., Editors: Frauendiener J and Friedrich H.
01-01-20022001
Kroon JAV (2001).
Can one detect a non-smooth null infinity? CLASSICAL QUANT GRAV vol. 18 (20), 4311-4316.
21-10-2001![Relevant Publication](/common/publications/images/fav.png)
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