Publications: Dr Juan Antonio Valiente Kroon

Minucci M, Valiente Kroon JA ( 2023 ) . On the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime . Classical and Quantum Gravity vol. 40 , ( 14 )

Sansom R, Kroon JAV ( 2023 ) . Dain’s invariant for black hole initial data . Classical and Quantum Gravity vol. 40 , ( 11 )

Kroon JAV ( 2022 ) . Conformal Methods in General Relativity . Cambridge University Press (CUP)

Kopiński J, Kroon JAV ( 2022 ) . Bach equation and the matching of spacetimes in conformal cyclic cosmology models . Physical Review D vol. 106 , ( 8 ) 084034 - 084034 .

Minucci M, MacEdo RP, Valiente Kroon JA ( 2022 ) . The Maxwell-scalar field system near spatial infinity . Journal of Mathematical Physics vol. 63 , ( 8 )

Beheshti S, Normann M, Kroon JAV ( 2022 ) . Future stability of self-gravitating dust balls in an expanding universe . Physical Review D vol. 105 , ( 12 ) 124027 - 124027 .

Magdy Ali Mohamed M, Valiente Kroon JA ( 2022 ) . Asymptotic charges for spin-1 and spin-2 fields at the critical sets of null infinity . Journal of Mathematical Physics vol. 63 , ( 5 )

Gasperín E, 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 .

Zhao P, Hilditch D, 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 .

Ali Mohamed MM, 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 .

Minucci M, Valiente Kroon JA ( 2021 ) . A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature . Classical and Quantum Gravity vol. 38 , ( 14 ) 145026 - 145026 .

Joudioux J, Thaller M, Valiente Kroon JA ( 2021 ) . The conformal Einstein field equations with massless Vlasov matter . Annales de l’institut Fourier1 - 44 .

Kopiński J, Kroon JAV ( 2021 ) . New spinorial approach to mass inequalities for black holes in general relativity . Physical Review D vol. 103 , ( 2 ) 024057 - 024057 .

Joudioux J, Thaller M, Kroon JAV ( 2021 ) . THE CONFORMAL EINSTEIN FIELD EQUATIONS WITH MASSLESS VLASOV MATTER . Annales de l'Institut Fourier vol. 71 , ( 2 ) 799 - 842 .

Gasperín E, Valiente Kroon JA ( 2020 ) . Zero rest-mass fields and the Newman–Penrose constants on flat space . Journal of Mathematical Physics vol. 61 , ( 12 ) 122503 - 122503 .

Normann M, Valiente Kroon JA ( 2020 ) . Evolution equations for a wide range of Einstein-matter systems . General Relativity and Gravitation vol. 52 , ( 10 )

Hilditch D, Valiente Kroon JA, Zhao P ( 2020 ) . Revisiting the characteristic initial value problem for the vacuum Einstein field equations . General Relativity and Gravitation vol. 52 , ( 10 )

Hilditch D, Valiente Kroon JA, Zhao P ( 2020 ) . Improved existence for the characteristic initial value problem with the conformal Einstein field equations . General Relativity and Gravitation vol. 52 , ( 9 )

Barausse E, Berti E, Hertog T, Hughes SA, Jetzer P, Pani P, Sotiriou TP, Tamanini N et al. ( 2020 ) . Prospects for fundamental physics with LISA . General Relativity and Gravitation vol. 52 , ( 8 )

Carranza DA, 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 vol. 36 , ( 21 ) 215010 - 215010 .

Carranza DA, Hursit AE, Valiente Kroon JA ( 2019 ) . Conformal wave equations for the Einstein-tracefree matter system . General Relativity and Gravitation vol. 51 , ( 7 )

Valiente Kroon JA, Williams JL ( 2019 ) . A perturbative approach to the construction of initial data on compact manifolds . Pure and Applied Mathematics Quarterly vol. 15 , ( 3 ) 785 - 826 .

Carranza DA, 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 ) Article ARTN 245006 ,

VALIENTE KROON JA, COLE MJ, Racz I ( 2018 ) . Killing spinor data on distorted black hole horizons and the uniqueness of stationary vacuum black holes . Classical and Quantum Gravity vol. 35 , 205001 - 205001 .

Carranza DA, Kroon JAV ( 2018 ) . Killing boundary data for anti-de Sitter-like spacetimes . CLASSICAL AND QUANTUM GRAVITY vol. 35 , ( 15 ) Article ARTN 155011 ,

Macedo RP, Kroon JAV ( 2018 ) . Spectral methods for the spin-2 equation near the cylinder at spatial infinity . CLASSICAL AND QUANTUM GRAVITY vol. 35 , ( 12 ) Article ARTN 125007 ,

Garcia-Parrado Gomez-Lobo A, Gasperin E, Valiente Kroon JA ( 2018 ) . Conformal geodesics in spherically symmetric vacuum spacetimes with cosmological constant . CLASSICAL AND QUANTUM GRAVITY vol. 35 , ( 4 ) Article ARTN 045002 ,

VALIENTE KROON JA, Alho A, Mena FC ( 2017 ) . The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies . Advances in Theoretical and Mathematical Physics vol. 21 , ( 4 ) 857 - 899 .

Gasperin E, Valiente Kroon JA ( 2017 ) . Polyhomogeneous expansions from time symmetric initial data . Classical and Quantum Gravity

VALIENTE KROON JA ( 2017 ) . A Geometric Invariant Characterising Initial Data for the Kerr–Newman Spacetime . Annales Henri Poincaré

Kroon JAV, Williams JL ( 2017 ) . Dain's invariant on non-time symmetric initial data sets . CLASSICAL AND QUANTUM GRAVITY vol. 34 , ( 12 ) Article ARTN 125013 ,

VALIENTE KROON JA ( 2017 ) . Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime . Annales Henri Poincare

Valiente Kroon JA ( 2016 ) . Mathematical Problems of General Relativity . Analysis and Mathematical Physics , World Scientific Publishing

Kroon JAV ( 2016 ) . Conformal Methods in General Relativity . Cambridge University Press (CUP)

Cole MJ, Kroon JAV ( 2016 ) . Killing spinors as a characterisation of rotating black hole spacetimes . Classical and Quantum Gravity vol. 33 , ( 12 ) Article ARTN 125019 ,

Pugliese D, Kroon JAV ( 2016 ) . On the locally rotationally symmetric Einstein-Maxwell perfect fluid . General Relativity and Gravitation vol. 48 , ( 6 ) Article ARTN 74 ,

Bäckdahl T, Valiente Kroon JA ( 2016 ) . A formalism for the calculus of variations with spinors . Journal of Mathematical Physics vol. 57 , ( 2 )

Gasperín E, Kroon JAV ( 2015 ) . Spinorial wave equations and stability of the Milne spacetime . Classical and Quantum Gravity vol. 32 , ( 18 )

McManus TM, Valiente-Kroon JA, Horsley SAR, Hao Y ( 2014 ) . Illusions and cloaks for surface waves . Sci Rep vol. 4 ,

Kroon JAV, Lübbe C ( 2014 ) . A Class of Conformal Curves on Spherically Symmetric Spacetimes . Relativity and Gravitation , vol. 157 , Springer Nature

Bäckdahl T, Valiente Kroon JA ( 2014 ) . How to Measure Deviation from the Kerr Initial Data: Recent Progress . Relativity and Gravitation , vol. 157 , Springer Nature

Lübbe C, Valiente Kroon JA ( 2014 ) . The Conformal Einstein Field Equations for Trace-free Perfect Fluids . Relativity and Gravitation , vol. 157 , Springer Nature

Luebbe C, Kroon JAV ( 2014 ) . A Class of Conformal Curves in the Reissner-Nordstrom Spacetime . ANNALES HENRI POINCARE vol. 15 , ( 7 ) 1327 - 1366 .

Luebbe C, Kroon JAV ( 2014 ) . On the conformal structure of the extremal Reissner-Nordstrom spacetime . CLASSICAL AND QUANTUM GRAVITY vol. 31 , ( 17 ) Article ARTN 175015 ,

Luebbe C, Kroon JAV ( 2014 ) . Spherically symmetric anti-de Sitter-like Einstein-Yang-Mills spacetimes . PHYSICAL REVIEW D vol. 90 , ( 2 ) Article ARTN 024021 ,

Luebbe C, 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 .

Pugliese D, Kroon JAV ( 2013 ) . On the evolution equations for a self-gravitating charged scalar field . GENERAL RELATIVITY AND GRAVITATION vol. 45 , ( 6 ) 1247 - 1269 .

KROON JAV ( 2006 ) . A NEW CLASS OF OBSTRUCTIONS TO THE SMOOTHNESS OF NULL INFINITY . Conference: The Tenth Marcel Grossmann Meeting1838 - 1841 .

LAZKOZ R, KROON JAV ( 2006 ) . THE NEWTONIAN LIMIT OF THE SPACETIMES DESCRIBING UNIFORMLY ACCELERATED PARTICLES . Conference: The Tenth Marcel Grossmann Meeting1953 - 1956 .

VALIENTE KROON JA ( 2006 ) . THE SMOOTHNESS OF NULL INFINITY: ITS RELEVANCE FOR NUMERICAL RELATIVITY . Conference: The Tenth Marcel Grossmann Meeting1613 - 1615 .

Kroon JAV ( 2012 ) . Asymptotic Simplicity and Static Data . ANNALES HENRI POINCARE vol. 13 , ( 2 ) 363 - 397 .

Baeckdahl T, Kroon JAV ( 2012 ) . Constructing "non-Kerrness" on compact domains . JOURNAL OF MATHEMATICAL PHYSICS vol. 53 , ( 4 ) Article ARTN 042503 ,

Pugliese D, Kroon JAV ( 2012 ) . On the evolution equations for ideal magnetohydrodynamics in curved spacetime . GENERAL RELATIVITY AND GRAVITATION vol. 44 , ( 11 ) 2785 - 2810 .

Luebbe C, 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 .

LAZKOZ SAEZ R, VALIENTE KROON JA ( 2001 ) . ON RADIATIVE PROPERTIES OF BOOST-ROTATION SYMMETRIC, TYPE D SPACETIMES . Conference: Reference Frames and Gravitomagnetism327 - 332 .

Backdahl T, 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 .

Backdahl T, Kroon JAV ( 2011 ) . Approximate twistors and positive mass . CLASSICAL QUANT GRAV vol. 28 , ( 7 ) Article 075010 ,

Acena AE, Kroon JAV ( 2011 ) . Conformal extensions for stationary spacetimes . CLASSICAL AND QUANTUM GRAVITY vol. 28 , ( 22 ) Article ARTN 225023 ,

Kroon JAV ( 2011 ) . Geometric invariants for initial data sets: analysis, exact solutions, computer algebra, numerics . SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS . Editors: Aldaya, V, Barcelo, C, Jaramillo, JL , vol. 314 ,

Alho A, Mena FC, Kroon JAV ( 2011 ) . On the non-linear stability of scalar field cosmologies . SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS . Editors: Aldaya, V, Barcelo, C, Jaramillo, JL , vol. 314 ,

Backdahl T, Kroon JAV ( 2010 ) . On the Construction of a Geometric Invariant Measuring the Deviation from Kerr Data . ANN HENRI POINCARE vol. 11 , ( 7 ) 1225 - 1271 .

Kroon JAV ( 2010 ) . A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data . COMMUN MATH PHYS vol. 298 , ( 3 ) 673 - 706 .

Lubbe C, Kroon JAV ( 2010 ) . A STABILITY RESULT FOR PURELY RADIATIVE SPACETIMES . J HYPERBOL DIFFER EQ vol. 7 , ( 3 ) 545 - 579 .

Backdahl T, Kroon JAV ( 2010 ) . Geometric Invariant Measuring the Deviation from Kerr Data . PHYS REV LETT vol. 104 , ( 23 ) Article 231102 ,

Kroon JAV ( 2009 ) . Regularity Conditions for Einstein's Equations at Spatial Infinity . ANN HENRI POINCARE vol. 10 , ( 4 ) 623 - 671 .

Lübbe C, Kroon JAV ( 2009 ) . On de Sitter-like and Minkowski-like spacetimes . Classical and Quantum Gravity vol. 26 , ( 14 )

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 .

Gomez-Lobo AGP, Kroon JAV ( 2009 ) . Kerr initial data . PHYSICS AND MATHEMATICS OF GRAVITATION . Editors: Kunze, KE, Mars, M, VazquezMozo, MA , vol. 1122 , 276 - 279 .

Gomez-Lobo AGP, Kroon JAV ( 2008 ) . Kerr initial data . CLASSICAL QUANT GRAV vol. 25 , ( 20 ) Article 205018 ,

Gomez-Lobo AGP, Kroon JAV ( 2008 ) . Killing spinor initial data sets . J GEOM PHYS vol. 58 , ( 9 ) 1186 - 1202 .

Jaramillo JL, Kroon JAV, Gourgoulhon E ( 2008 ) . From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity . CLASSICAL QUANT GRAV vol. 25 , ( 9 ) Article 093001 ,

Antonio J, Kroon V ( 2007 ) . The Maxwell field on the Schwarzschild space-time: behaviour near spatial infinity . P R SOC A vol. 463 , ( 2086 ) 2609 - 2630 .

Kroon JAV ( 2007 ) . Asymptotic properties of the development of conformally flat data near spatial infinity . CLASSICAL QUANT GRAV vol. 24 , ( 11 ) 3037 - 3053 .

Gomez-Lobo AGP, Kroon JAV ( 2007 ) . Initial data sets for the Schwarzschild spacetime . PHYS REV D vol. 75 , ( 2 ) Article 024027 ,

Kroon JAV ( 2006 ) . On smoothness-asymmetric null infinities . CLASSICAL QUANT GRAV vol. 23 , ( 10 ) 3593 - 3606 .

Kroon JAV ( 2005 ) . Characterization of Schwarzschildean initial data . PHYS REV D vol. 72 , ( 8 ) Article 084003 ,

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 .

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 .

Kroon JAV ( 2004 ) . Does asymptotic simplicity allow for radiation near spatial infinity? . COMMUN MATH PHYS vol. 251 , ( 2 ) 211 - 234 .

Kroon JAV ( 2004 ) . Asymptotic expansions of the Cotton-York tensor on slices of stationary spacetimes . CLASSICAL QUANT GRAV vol. 21 , ( 13 ) 3237 - 3249 .

Lazkoz R, Kroon JAV ( 2004 ) . The Newtonian limit of space-times describing uniformly accelerated particles . P ROY SOC LOND A MAT vol. 460 , ( 2044 ) 995 - 1016 .

Kroon JAV ( 2004 ) . Nonexistence of conformally flat slices in Kerr and other stationary spacetimes . PHYS REV LETT vol. 92 , ( 4 ) Article 041101 ,

Kroon JAV ( 2004 ) . A new class of obstructions to the smoothness of null infinity . COMMUN MATH PHYS vol. 244 , ( 1 ) 133 - 156 .

Lazkoz R, Kroon JAV ( 2003 ) . Gravitational waves . REV MEX FIS vol. 49 , ( 4 ) 384 - 390 .

Kroon JAV ( 2003 ) . Early radiative properties of the developments of time-symmetric conformally flat initial data . CLASSICAL QUANT GRAV vol. 20 , ( 5 ) L53 - L59 .

Dain S, Valiente-Kroon JA ( 2002 ) . Conserved quantities in a black hole collision . CLASSICAL QUANT GRAV vol. 19 , ( 4 ) 811 - 815 .

Kroon JAV ( 2002 ) . Polyhomogeneous expansions close to null and spatial infinity . CONFORMAL STRUCTURE OF SPACE-TIME: GEOMETRY, ANALYSIS, NUMERICS . Editors: Frauendiener, J, Friedrich, H , vol. 604 , 135 - 159 .

Kroon JAV ( 2001 ) . Can one detect a non-smooth null infinity? . CLASSICAL QUANT GRAV vol. 18 , ( 20 ) 4311 - 4316 .