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Author ID: friedrich.helmut Recent zbMATH articles by "Friedrich, Helmut"
Published as: Friedrich, Helmut; Friedrich, H.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 1,154 times in 590 Documents Cited by Year
On the existence of \(n\)-geodesically complete or future complete solutions of Einstein’s field equations with smooth asymptotic structure. Zbl 0659.53056
Friedrich, Helmut
132
1986
Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times. Zbl 0840.53055
Friedrich, Helmut
84
1995
On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein’s field equations. Zbl 0764.53027
Andersson, Lars; Chruściel, Piotr T.; Friedrich, Helmut
77
1992
On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations. Zbl 0454.58017
Friedrich, H.
70
1981
Gravitational fields near space-like and null infinity. Zbl 0896.53053
Friedrich, Helmut
65
1997
Cauchy problems for the conformal vacuum field equations in general relativity. Zbl 0555.35116
Friedrich, Helmut
61
1983
On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations. Zbl 0737.53070
Friedrich, Helmut
61
1991
On the rigidity theorem for spacetimes with a stationary event horizon or a compact Cauchy horizon. Zbl 0933.83022
Friedrich, Helmut; Rácz, István; Wald, Robert M.
59
1999
The initial boundary value problem for Einstein’s vacuum field equation. Zbl 0947.83007
Friedrich, Helmut; Nagy, Gabriel
53
1999
The asymptotic characteristic initial value problem for Einstein’s vacuum field equations as an initial value problem for a first-order quasilinear symmetric hyperbolic system. Zbl 0481.58026
Friedrich, H.
51
1981
Hyperbolic reductions for Einstein’s equations. Zbl 0851.58044
Friedrich, Helmut
47
1996
Existence and structure of past asymptotically simple solutions of Einstein’s field equations with positive cosmological constant. Zbl 0592.53061
Friedrich, Helmut
47
1986
The Cauchy problem for the Einstein equations. Zbl 1006.83003
Friedrich, Helmut; Rendall, Alan
43
2000
On the hyperbolicity of Einstein’s and other gauge field equations. Zbl 0588.35058
Friedrich, Helmut
41
1985
On purely radiative space-times. Zbl 0584.53038
Friedrich, Helmut
35
1986
Conformal Einstein evolution. Zbl 1054.83006
Friedrich, Helmut
33
2002
Smoothness at null infinity and the structure of initial data. Zbl 1072.83003
Friedrich, Helmut
31
2004
Conformal geodesics in general relativity. Zbl 0629.53063
Friedrich, H.; Schmidt, B. G.
29
1987
Bondi-type systems near spacelike infinity and the calculation of the Newman-Penrose constants. Zbl 0974.83015
Friedrich, Helmut; Kánnár, János
28
2000
Characteristic initial data and wavefront singularities in general relativity. Zbl 0513.58043
Friedrich, H.; Stewart, J. M.
25
1983
Spin-2 fields on Minkowski space near spacelike and null infinity. Zbl 1017.83003
Friedrich, Helmut
24
2003
Conformal geodesics on vacuum space-times. Zbl 1040.53079
Friedrich, Helmut
23
2003
On static and radiative space-times. Zbl 0658.53074
Friedrich, Helmut
20
1988
Peeling or not peeling – is that the question? Zbl 1409.83043
Friedrich, Helmut
20
2018
A remark about wave equations on the extreme Reissner-Nordström black hole exterior. Zbl 1267.83049
Bizoń, Piotr; Friedrich, Helmut
20
2013
Asymptotically flat initial data with prescribed regularity at infinity. Zbl 1056.58009
Dain, Sergio; Friedrich, Helmut
19
2001
Numerical relativity. I: The characteristic initial value problem. Zbl 0541.65089
Stewart, J. M.; Friedrich, H.
16
1982
On the existence of analytic null asymptotically flat solutions of Einstein’s vacuum field equations. Zbl 0489.58032
Friedrich, H.
14
1982
Sharp asymptotics for Einstein-\({\lambda}\)-dust flows. Zbl 1360.83008
Friedrich, Helmut
13
2017
Initial boundary value problems for Einstein’s field equations and geometric uniqueness. Zbl 1177.83022
Friedrich, Helmut
12
2009
Motion of isolated bodies. Zbl 1107.83011
Choquet-Bruhat, Yvonne; Friedrich, Helmut
11
2006
The Einstein equations and the large scale behavior of gravitational fields. 50 Years of the Cauchy problem in general relativity. With DVD. Zbl 1048.83001
11
2004
On the AdS stability problem. Zbl 1291.83026
Friedrich, Helmut
10
2014
Calculating asymptotic quantities near space-like and null infinity from Cauchy data. Zbl 1161.83307
Friedrich, H.; Kánnár, J.
9
2000
The Taylor expansion at past time-like infinity. Zbl 1277.83022
Friedrich, Helmut
9
2013
Smooth non-zero rest-mass evolution across time-like infinity. Zbl 1326.83086
Friedrich, Helmut
8
2015
Is general relativity ‘essentially understood’? Zbl 1098.83005
Friedrich, Helmut
7
2006
Geometric asymptotics and beyond. Zbl 1339.83007
Friedrich, Helmut
7
2015
Phase loss in WKB waves due to reflection by a potential. Zbl 0944.81513
Friedrich, H.; Trost, J.
6
1996
The conformal structure of space-time. Geometry, analysis, numerics. Zbl 1030.00021
5
2002
Twistor connection and normal conformal Cartan connection. Zbl 0465.53039
Friedrich, Helmut
5
1977
Asymptotic structure of space-time. Zbl 0850.83020
Friedrich, Helmut
4
1992
Static vacuum solutions from convergent null data expansions at space-like infinity. Zbl 1203.83011
Friedrich, Helmut
4
2007
Conformal structures of static vacuum data. Zbl 1269.83005
Friedrich, Helmut
4
2013
WKB and exact wave functions for inverse power-law potentials. Zbl 0962.81510
Trost, J.; Friedrich, H.
3
1997
Einstein’s equation and conformal structure. Zbl 0912.53064
Friedrich, Helmut
3
1998
Construction and properties of space-time b-boundaries. Zbl 0329.53020
Friedrich, H.
3
1974
Canonical gravity: from classical to quantum. Proceedings of the 117th WE Heraeus Seminar, held at Bad Honnef, Germany, 13-17 September 1993. Zbl 0797.00018
3
1994
Yamabe numbers and the Brill-Cantor criterion. Zbl 1216.83021
Friedrich, Helmut
3
2011
Conformal classes of asymptotically flat, static vacuum data. Zbl 1137.83320
Friedrich, Helmut
2
2008
On the nonlinearity of subsidiary systems. Zbl 1129.83303
Friedrich, Helmut
2
2005
Editorial note to: Roger Penrose, Conformal treatment of infinity. Zbl 1215.83017
Friedrich, Helmut
1
2011
One-parameter families of conformally related asymptotically flat, static vacuum data. Zbl 1145.83003
Friedrich, Helmut
1
2008
Peeling or not peeling – is that the question? Zbl 1409.83043
Friedrich, Helmut
20
2018
Sharp asymptotics for Einstein-\({\lambda}\)-dust flows. Zbl 1360.83008
Friedrich, Helmut
13
2017
Smooth non-zero rest-mass evolution across time-like infinity. Zbl 1326.83086
Friedrich, Helmut
8
2015
Geometric asymptotics and beyond. Zbl 1339.83007
Friedrich, Helmut
7
2015
On the AdS stability problem. Zbl 1291.83026
Friedrich, Helmut
10
2014
A remark about wave equations on the extreme Reissner-Nordström black hole exterior. Zbl 1267.83049
Bizoń, Piotr; Friedrich, Helmut
20
2013
The Taylor expansion at past time-like infinity. Zbl 1277.83022
Friedrich, Helmut
9
2013
Conformal structures of static vacuum data. Zbl 1269.83005
Friedrich, Helmut
4
2013
Yamabe numbers and the Brill-Cantor criterion. Zbl 1216.83021
Friedrich, Helmut
3
2011
Editorial note to: Roger Penrose, Conformal treatment of infinity. Zbl 1215.83017
Friedrich, Helmut
1
2011
Initial boundary value problems for Einstein’s field equations and geometric uniqueness. Zbl 1177.83022
Friedrich, Helmut
12
2009
Conformal classes of asymptotically flat, static vacuum data. Zbl 1137.83320
Friedrich, Helmut
2
2008
One-parameter families of conformally related asymptotically flat, static vacuum data. Zbl 1145.83003
Friedrich, Helmut
1
2008
Static vacuum solutions from convergent null data expansions at space-like infinity. Zbl 1203.83011
Friedrich, Helmut
4
2007
Motion of isolated bodies. Zbl 1107.83011
Choquet-Bruhat, Yvonne; Friedrich, Helmut
11
2006
Is general relativity ‘essentially understood’? Zbl 1098.83005
Friedrich, Helmut
7
2006
On the nonlinearity of subsidiary systems. Zbl 1129.83303
Friedrich, Helmut
2
2005
Smoothness at null infinity and the structure of initial data. Zbl 1072.83003
Friedrich, Helmut
31
2004
The Einstein equations and the large scale behavior of gravitational fields. 50 Years of the Cauchy problem in general relativity. With DVD. Zbl 1048.83001
11
2004
Spin-2 fields on Minkowski space near spacelike and null infinity. Zbl 1017.83003
Friedrich, Helmut
24
2003
Conformal geodesics on vacuum space-times. Zbl 1040.53079
Friedrich, Helmut
23
2003
Conformal Einstein evolution. Zbl 1054.83006
Friedrich, Helmut
33
2002
The conformal structure of space-time. Geometry, analysis, numerics. Zbl 1030.00021
5
2002
Asymptotically flat initial data with prescribed regularity at infinity. Zbl 1056.58009
Dain, Sergio; Friedrich, Helmut
19
2001
The Cauchy problem for the Einstein equations. Zbl 1006.83003
Friedrich, Helmut; Rendall, Alan
43
2000
Bondi-type systems near spacelike infinity and the calculation of the Newman-Penrose constants. Zbl 0974.83015
Friedrich, Helmut; Kánnár, János
28
2000
Calculating asymptotic quantities near space-like and null infinity from Cauchy data. Zbl 1161.83307
Friedrich, H.; Kánnár, J.
9
2000
On the rigidity theorem for spacetimes with a stationary event horizon or a compact Cauchy horizon. Zbl 0933.83022
Friedrich, Helmut; Rácz, István; Wald, Robert M.
59
1999
The initial boundary value problem for Einstein’s vacuum field equation. Zbl 0947.83007
Friedrich, Helmut; Nagy, Gabriel
53
1999
Einstein’s equation and conformal structure. Zbl 0912.53064
Friedrich, Helmut
3
1998
Gravitational fields near space-like and null infinity. Zbl 0896.53053
Friedrich, Helmut
65
1997
WKB and exact wave functions for inverse power-law potentials. Zbl 0962.81510
Trost, J.; Friedrich, H.
3
1997
Hyperbolic reductions for Einstein’s equations. Zbl 0851.58044
Friedrich, Helmut
47
1996
Phase loss in WKB waves due to reflection by a potential. Zbl 0944.81513
Friedrich, H.; Trost, J.
6
1996
Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times. Zbl 0840.53055
Friedrich, Helmut
84
1995
Canonical gravity: from classical to quantum. Proceedings of the 117th WE Heraeus Seminar, held at Bad Honnef, Germany, 13-17 September 1993. Zbl 0797.00018
3
1994
On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein’s field equations. Zbl 0764.53027
Andersson, Lars; Chruściel, Piotr T.; Friedrich, Helmut
77
1992
Asymptotic structure of space-time. Zbl 0850.83020
Friedrich, Helmut
4
1992
On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations. Zbl 0737.53070
Friedrich, Helmut
61
1991
On static and radiative space-times. Zbl 0658.53074
Friedrich, Helmut
20
1988
Conformal geodesics in general relativity. Zbl 0629.53063
Friedrich, H.; Schmidt, B. G.
29
1987
On the existence of \(n\)-geodesically complete or future complete solutions of Einstein’s field equations with smooth asymptotic structure. Zbl 0659.53056
Friedrich, Helmut
132
1986
Existence and structure of past asymptotically simple solutions of Einstein’s field equations with positive cosmological constant. Zbl 0592.53061
Friedrich, Helmut
47
1986
On purely radiative space-times. Zbl 0584.53038
Friedrich, Helmut
35
1986
On the hyperbolicity of Einstein’s and other gauge field equations. Zbl 0588.35058
Friedrich, Helmut
41
1985
Cauchy problems for the conformal vacuum field equations in general relativity. Zbl 0555.35116
Friedrich, Helmut
61
1983
Characteristic initial data and wavefront singularities in general relativity. Zbl 0513.58043
Friedrich, H.; Stewart, J. M.
25
1983
Numerical relativity. I: The characteristic initial value problem. Zbl 0541.65089
Stewart, J. M.; Friedrich, H.
16
1982
On the existence of analytic null asymptotically flat solutions of Einstein’s vacuum field equations. Zbl 0489.58032
Friedrich, H.
14
1982
On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations. Zbl 0454.58017
Friedrich, H.
70
1981
The asymptotic characteristic initial value problem for Einstein’s vacuum field equations as an initial value problem for a first-order quasilinear symmetric hyperbolic system. Zbl 0481.58026
Friedrich, H.
51
1981
Twistor connection and normal conformal Cartan connection. Zbl 0465.53039
Friedrich, Helmut
5
1977
Construction and properties of space-time b-boundaries. Zbl 0329.53020
Friedrich, H.
3
1974
all top 5

Cited by 542 Authors

34 Valiente Kroon, Juan Antonio
19 Friedrich, Helmut
17 Gutowski, Jan B.
16 Chruściel, Piotr Tadeusz
15 Frauendiener, Jörg
12 Papadopoulos, George
11 Gasperín, Edgar
10 Oliynyk, Todd Andrew
10 Paetz, Tim-Torben
9 Holzegel, Gustav
9 Winicour, Jeffrey
8 Andersson, Lars Åke
8 Gover, Ashwin Rod
8 Henneaux, Marc
8 Hollands, Stefan
8 Rodnianski, Igor
8 Senovilla, José M. M.
8 Troessaert, Cedric
7 Beyer, Florian
7 Hennig, Jörg-Dieter
7 Hilditch, David
7 Lindblad, Hans
7 Lübbe, Christian
7 Reula, Oscar A.
7 Smulevici, Jacques
6 Fajman, David
6 Gajic, Dejan
6 Han, Qing
6 Hintz, Peter
6 Rendall, Alan D.
6 Sarbach, Olivier C. A.
6 Speck, Jared
5 Aretakis, Stefanos
5 Bizoń, Piotr
5 Costa, João Lopes
5 Ionescu, Alexandru D.
5 Ishibashi, Akihiro
5 LeFloch, Philippe Gerard
5 Macedo, Rodrigo Panosso
5 Natário, José
5 Ringström, Hans
5 Waldron, Andrew K.
4 Carranza, Diego A.
4 Compère, Geoffrey
4 Dappiaggi, Claudio
4 Delay, Erwann
4 Feng, Justin C.
4 García-Parrado Gómez-Lobo, Alfonso
4 Gran, Ulf
4 Jiang, Xumin
4 Mars, Marc
4 Minguzzi, Ettore
4 Petersen, Oliver Lindblad
4 Pugliese, Daniela
4 Shao, Arick
4 Shen, Weiming
4 Tod, Paul
4 Vasy, András
4 Warnick, Claude M.
4 Wei, Changhua
4 Yagdjian, Karen
3 Adamo, Tim
3 Anderson, Michael T.
3 Angelopoulos, Yannis
3 Anninos, Dionysios
3 Ashtekar, Abhay
3 Brügmann, Bernd
3 Coley, Alan Albert
3 Dias, Óscar J. C.
3 Disconzi, Marcelo Mendes
3 Duarte, Miguel
3 Fontanella, Andrea
3 Fuentealba, Oscar
3 Garat, Alcides
3 Gicquaud, Romain
3 Herfray, Yannick
3 Klainerman, Sergiu
3 Liu, Chao
3 Luk, Jonathan
3 Mena, Filipe C.
3 Minucci, Marica
3 Penrose, Roger
3 Rácz, István
3 Rejzner, Katarzyna
3 Sabra, Wafic A.
3 Santos, Jorge E.
3 Schlue, Volker
3 Stevens, Chris J.
3 Tarfulea, Nicolae
3 Tiglio, Manuel
3 van Gorder, Robert Ashton
3 Virmani, Amitabh
3 Wald, Robert M.
3 Wang, Yue
3 Wyatt, Zoe
3 York, James W. jun.
3 Yu, Pin
2 Adamo, Timothy M.
2 Alekseenko, Alexander M.
2 Alexakis, Spyros
...and 442 more Authors
all top 5

Cited in 99 Serials

89 Classical and Quantum Gravity
64 Communications in Mathematical Physics
52 Journal of High Energy Physics
46 General Relativity and Gravitation
39 Journal of Mathematical Physics
33 Annales Henri Poincaré
29 Living Reviews in Relativity
19 Journal of Hyperbolic Differential Equations
10 Journal of Geometry and Physics
9 Journal of Functional Analysis
8 Advances in Mathematics
8 Physical Review Letters
7 Communications in Partial Differential Equations
7 International Journal of Modern Physics D
7 Journal of Cosmology and Astroparticle Physics
7 Annals of PDE
6 Archive for Rational Mechanics and Analysis
6 Inventiones Mathematicae
5 Letters in Mathematical Physics
4 Annales de l’Institut Fourier
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Calculus of Variations and Partial Differential Equations
4 Annals of Mathematics. Second Series
4 Analysis & PDE
3 Journal of Computational Physics
3 Reviews in Mathematical Physics
3 Journal of Differential Equations
3 Transactions of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 The Journal of Geometric Analysis
3 Geometric and Functional Analysis. GAFA
3 Bulletin of the American Mathematical Society. New Series
3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
3 Science China. Mathematics
2 Journal of Mathematical Analysis and Applications
2 Acta Mathematica Vietnamica
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Proceedings of the American Mathematical Society
2 Revista Matemática Iberoamericana
2 Numerical Algorithms
2 Selecta Mathematica. New Series
2 Abstract and Applied Analysis
2 Annalen der Physik. 8th Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Physical Review D. Series III
2 International Journal of Geometric Methods in Modern Physics
2 Foundations of Physics
2 Oberwolfach Reports
2 Séminaire Laurent Schwartz. EDP et Applications
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Nonlinearity
1 Nuclear Physics. B
1 Physics Letters. B
1 Reviews of Modern Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Bulletin de la Société Mathématique de France
1 Dissertationes Mathematicae
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Geometry
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Proceedings of the London Mathematical Society. Third Series
1 Quarterly of Applied Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Advances in Differential Equations
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Advances in Geometry
1 Journal of Evolution Equations
1 Portugaliae Mathematica. Nova Série
1 Boundary Value Problems
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Analysis and Mathematical Physics
1 Annalen der Physik
1 Forum of Mathematics, Sigma
1 Communications in Mathematics and Statistics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Peking Mathematical Journal
1 Portugaliae Mathematica
all top 5

Cited in 47 Fields

489 Relativity and gravitational theory (83-XX)
231 Differential geometry (53-XX)
229 Partial differential equations (35-XX)
97 Quantum theory (81-XX)
71 Global analysis, analysis on manifolds (58-XX)
28 Mechanics of particles and systems (70-XX)
24 Fluid mechanics (76-XX)
19 Numerical analysis (65-XX)
18 Astronomy and astrophysics (85-XX)
14 Algebraic geometry (14-XX)
11 Several complex variables and analytic spaces (32-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 General topology (54-XX)
7 History and biography (01-XX)
7 Manifolds and cell complexes (57-XX)
6 Geometry (51-XX)
5 Operator theory (47-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 General and overarching topics; collections (00-XX)
4 Topological groups, Lie groups (22-XX)
4 Real functions (26-XX)
4 Ordinary differential equations (34-XX)
4 Functional analysis (46-XX)
3 Special functions (33-XX)
3 Approximations and expansions (41-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Optics, electromagnetic theory (78-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Computer science (68-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year