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1

Revisiting the characteristic initial value problem for the vacuum Einstein field equations

Hilditch, David, Valiente Kroon, Juan A., Zhao, Peng

Journal:

General Relativity and Gravitation

Year:

2020

File:

PDF, 868 KB

2020

2

Conformal Methods in General Relativity || Differential geometry

Kroon, Juan A. Valiente

Year:

2016

Language:

english

File:

PDF, 439 KB

english, 2016

3

Killing boundary data for anti-de Sitter-like spacetimes

Carranza, Diego A, Valiente Kroon, Juan A

Journal:

Classical and Quantum Gravity

Year:

2018

Language:

english

File:

PDF, 1.36 MB

english, 2018

4

Regularity Conditions for Einstein’s Equations at Spatial Infinity

Juan Antonio Valiente Kroon

Journal:

Annales Henri Poincaré

Year:

2009

Language:

english

File:

PDF, 739 KB

english, 2009

5

On the Construction of a Geometric Invariant Measuring the Deviation from Kerr Data

Thomas Bäckdahl, Juan A. Valiente Kroon

Journal:

Annales Henri Poincaré

Year:

2010

Language:

english

File:

PDF, 556 KB

english, 2010

6

Asymptotic Simplicity and Static Data

Juan Antonio Valiente Kroon

Journal:

Annales Henri Poincaré

Year:

2012

Language:

english

File:

PDF, 441 KB

english, 2012

7

A New Class of Obstructions to the Smoothness of Null Infinity

Juan Antonio Valiente Kroon

Journal:

Communications in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 321 KB

english, 2004

8

Does Asymptotic Simplicity Allow for Radiation Near Spatial Infinity?

Juan Antonio Valiente Kroon

Journal:

Communications in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 275 KB

english, 2004

9

A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data

Juan Antonio Valiente Kroon

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 453 KB

english, 2010

10

Killing spinor initial data sets

Alfonso García-Parrado Gómez-Lobo, Juan A. Valiente Kroon

Journal:

Journal of Geometry and Physics

Year:

2008

Language:

english

File:

PDF, 486 KB

english, 2008

11

The extended conformal Einstein field equations with matter: The Einstein–Maxwell field

Christian Lübbe, Juan Antonio Valiente Kroon

Journal:

Journal of Geometry and Physics

Year:

2012

Language:

english

File:

PDF, 354 KB

english, 2012

12

On the evolution equations for ideal magnetohydrodynamics in curved spacetime

Daniela Pugliese, Juan A. Valiente Kroon

Journal:

General Relativity and Gravitation

Year:

2012

Language:

english

File:

PDF, 290 KB

english, 2012

13

A conformal approach for the analysis of the non-linear stability of radiation cosmologies

Christian Lübbe, Juan Antonio Valiente Kroon

Journal:

Annals of Physics

Year:

2013

Language:

english

File:

PDF, 380 KB

english, 2013

14

The Maxwell field on the Schwarzschild space–time: behaviour near spatial infinity

Valiente Kroon, Juan Antonio

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2007

Language:

english

File:

PDF, 367 KB

english, 2007

15

On the evolution equations for a self-gravitating charged scalar field

Pugliese, Daniela, Valiente Kroon, Juan A.

Journal:

General Relativity and Gravitation

Year:

2013

Language:

english

File:

PDF, 275 KB

english, 2013

16

A Class of Conformal Curves in the Reissner–Nordström Spacetime

Christian Lübbe, Juan Antonio Valiente Kroon

Journal:

Annales Henri Poincaré

Year:

2014

Language:

english

File:

PDF, 575 KB

english, 2014

17

Logarithmic Newman-Penrose constants for arbitrary polyhomogeneous spacetimes

Valiente-Kroon, Juan Antonio

Journal:

Classical and Quantum Gravity

Year:

1999

Language:

english

File:

PDF, 177 KB

english, 1999

18

Conserved quantities for polyhomogeneous spacetimes

Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

1998

Language:

english

File:

PDF, 175 KB

english, 1998

19

Polyhomogeneity and zero-rest-mass fields with applications to Newman-Penrose constants

Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2000

Language:

english

File:

PDF, 215 KB

english, 2000

20

Boost-rotation symmetric type D radiative metrics in Bondi coordinates

Lazkoz, Ruth, Valiente-Kroon, Juan Antonio

Journal:

Physical Review D

Year:

2000

Language:

english

File:

PDF, 229 KB

english, 2000

21

Constructing “non-Kerrness” on compact domains

Bäckdahl, Thomas, Kroon, Juan A. Valiente

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 369 KB

english, 2012

22

The Maxwell Field on the Schwarzschild Space-Time: Behaviour near Spatial Infinity

Juan Antonio Valiente Kroon

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2007

Language:

english

File:

PDF, 1.61 MB

english, 2007

23

The Newtonian Limit of Space-Times Describing Uniformly Accelerated Particles

Ruth Lazkoz and Juan Antonio Valiente Kroon

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2004

Language:

english

File:

PDF, 529 KB

english, 2004

24

Initial data sets for the Schwarzschild spacetime

Gómez-Lobo, Alfonso García-Parrado, Kroon, Juan A. Valiente

Journal:

Physical Review D

Year:

2007

Language:

english

File:

PDF, 238 KB

english, 2007

25

Characterization of Schwarzschildean initial data

Kroon, Juan Antonio Valiente

Journal:

Physical Review D

Year:

2005

Language:

english

File:

PDF, 192 KB

english, 2005

26

Geometric Invariant Measuring the Deviation from Kerr Data

Bäckdahl, Thomas, Valiente Kroon, Juan A.

Journal:

Physical Review Letters

Year:

2010

Language:

english

File:

PDF, 115 KB

english, 2010

27

On Killing vector fields and Newman–Penrose constants

Kroon, Juan Antonio Valiente

Journal:

Journal of Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 461 KB

english, 2000

28

Nonexistence of Conformally Flat Slices in Kerr and Other Stationary Spacetimes

Kroon, Juan Antonio Valiente

Journal:

Physical Review Letters

Year:

2004

Language:

english

File:

PDF, 94 KB

english, 2004

29

On the conformal structure of the extremal Reissner–Nordström spacetime

Lübbe, Christian, Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2014

Language:

english

File:

PDF, 3.50 MB

english, 2014

30

A STABILITY RESULT FOR PURELY RADIATIVE SPACETIMES

LÜBBE, CHRISTIAN, VALIENTE KROON, JUAN ANTONIO

Journal:

Journal of Hyperbolic Differential Equations

Year:

2010

Language:

english

File:

PDF, 676 KB

english, 2010

31

ESTIMATES FOR THE MAXWELL FIELD NEAR THE SPATIAL AND NULL INFINITY OF THE SCHWARZSCHILD SPACETIME

VALIENTE KROON, JUAN ANTONIO

Journal:

Journal of Hyperbolic Differential Equations

Year:

2009

Language:

english

File:

PDF, 438 KB

english, 2009

32

From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity

Jaramillo, José Luis, Kroon, Juan Antonio Valiente, Gourgoulhon, Eric

Journal:

Classical and Quantum Gravity

Year:

2008

Language:

english

File:

PDF, 858 KB

english, 2008

33

[AIP PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008 - Salamanca (Spain) (15–19 September 2008)] AIP Conference Proceedings - Kerr initial data

Gómez-Lobo, Alfonso García-Parrado, Kroon, Juan A. Valiente, Kunze, Kerstin E., Mars, Marc, Vázquez-Mozo, Miguel Angel

Year:

2009

Language:

english

File:

PDF, 190 KB

english, 2009

34

Can one detect a non-smooth null infinity?

Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2001

Language:

english

File:

PDF, 73 KB

english, 2001

35

Time asymmetric spacetimes near null and spatial infinity: I. Expansions of developments of conformally flat data

Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2004

Language:

english

File:

PDF, 377 KB

english, 2004

36

Asymptotic expansions of the Cotton–York tensor on slices of stationary spacetimes

Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2004

Language:

english

File:

PDF, 222 KB

english, 2004

37

On smoothness-asymmetric null infinities

Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2006

Language:

english

File:

PDF, 215 KB

english, 2006

38

Asymptotic properties of the development of conformally flat data near spatial infinity

Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2007

Language:

english

File:

PDF, 234 KB

english, 2007

39

On de Sitter-like and Minkowski-like spacetimes

Lübbe, Christian, Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2009

Language:

english

File:

PDF, 316 KB

english, 2009

40

On the existence and convergence of polyhomogeneous expansions of zero-rest-mass fields

Kroon, Juan Antonio Valiente

Journal:

Classical and Quantum Gravity

Year:

2000

Language:

english

File:

PDF, 118 KB

english, 2000

41

Kerr initial data

Gómez-Lobo, Alfonso García-Parrado, Kroon, Juan A Valiente

Journal:

Classical and Quantum Gravity

Year:

2008

Language:

english

File:

PDF, 286 KB

english, 2008

42

Conformal extensions for stationary spacetimes

Aceña, Andrés E, Kroon, Juan A Valiente

Journal:

Classical and Quantum Gravity

Year:

2011

Language:

english

File:

PDF, 388 KB

english, 2011

43

Geometric invariants for initial data sets: analysis, exact solutions, computer algebra, numerics

Valiente Kroon, Juan A

Journal:

Journal of Physics Conference Series

Year:

2011

Language:

english

File:

PDF, 390 KB

english, 2011

44

Killing spinors as a characterisation of rotating black hole spacetimes

Cole, Michael J, Kroon, Juan A Valiente

Journal:

Classical and Quantum Gravity

Year:

2016

Language:

english

File:

PDF, 391 KB

english, 2016

45

On the non-linear stability of scalar field cosmologies

Alho, Artur, Mena, Filipe C, Kroon, Juan A Valiente

Journal:

Journal of Physics Conference Series

Year:

2011

Language:

english

File:

PDF, 412 KB

english, 2011

46

Spinorial wave equations and stability of the Milne spacetime

Gasperín, Edgar, Valiente Kroon, Juan Antonio

Journal:

Classical and Quantum Gravity

Year:

2015

Language:

english

File:

PDF, 672 KB

english, 2015

47

The 'non-Kerrness' of domains of outer communication of black holes and exteriors of stars

Thomas Bäckdahl and Juan A. Valiente Kroon

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2011

Language:

english

File:

PDF, 1.39 MB

english, 2011

48

Conformal Methods in General Relativity || Space spinors

Kroon, Juan A. Valiente

Year:

2016

Language:

english

File:

PDF, 283 KB

english, 2016

49

Conformal Methods in General Relativity || Minkowski-like spacetimes

Kroon, Juan A. Valiente

Year:

2016

Language:

english

File:

PDF, 839 KB

english, 2016

50

Conformal Methods in General Relativity || Asymptotics

Kroon, Juan A. Valiente

Year:

2016

Language:

english

File:

PDF, 462 KB

english, 2016

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