-
2
-
-
27144454897
-
Local existence of dynamical and trapping horizons
-
Andersson L, Mars M and Simon W 2005 Local existence of dynamical and trapping horizons Phys. Rev. Lett. 95 111102
-
(2005)
Phys. Rev. Lett.
, vol.95
, Issue.11
, pp. 111102
-
-
Andersson, L.1
Mars, M.2
Simon, W.3
-
3
-
-
0035531301
-
Quiescent cosmological singularities
-
Andersson L and Rendall A D 2001 Quiescent cosmological singularities Commun. Math. Phys. 218 479-511
-
(2001)
Commun. Math. Phys.
, vol.218
, Issue.3
, pp. 479-511
-
-
Andersson, L.1
Rendall, A.D.2
-
6
-
-
0037164977
-
Dynamical horizons: Energy, angular momentum, fluxes, and balance laws
-
Ashtekar A and Krishnan B 2002 Dynamical horizons: energy, angular momentum, fluxes, and balance laws Phys. Rev. Lett. 89 261101 4
-
(2002)
Phys. Rev. Lett.
, vol.89
, Issue.26
, pp. 261101
-
-
Ashtekar, A.1
Krishnan, B.2
-
7
-
-
0000716603
-
A striking property of the gravitational Hamiltonian
-
Ashtekar A and Varadarajan M 1994 A striking property of the gravitational Hamiltonian Phys. Rev. D 50 4944
-
(1994)
Phys. Rev.
, vol.50
, Issue.8
, pp. 4944
-
-
Ashtekar, A.1
Varadarajan, M.2
-
8
-
-
0001848227
-
Chaotic behaviour in general relativity
-
Barrow J D 1982 Chaotic behaviour in general relativity Phys. Rep. 85 1-49
-
(1982)
Phys. Rep.
, vol.85
, Issue.1
, pp. 1-49
-
-
Barrow, J.D.1
-
9
-
-
0014808945
-
Oscillatory approach to a singular point in the relativistic cosmology
-
Belinsk V A, Khalatnikov I M and Lifshitz E M 1970 Oscillatory approach to a singular point in the relativistic cosmology Adv. Phys. 19 525-73
-
(1970)
Adv. Phys.
, vol.19
, Issue.80
, pp. 525-573
-
-
Belinsk, V.A.1
Khalatnikov, I.M.2
Lifshitz, E.M.3
-
10
-
-
84927770535
-
A general solution of the Einstein equations with a time singularity
-
Belinsk V A, Khalatnikov I M and Lifshitz E M 1982 A general solution of the Einstein equations with a time singularity Adv. Phys. 31 639-67
-
(1982)
Adv. Phys.
, vol.31
, Issue.6
, pp. 639-667
-
-
Belinsk, V.A.1
Khalatnikov, I.M.2
Lifshitz, E.M.3
-
11
-
-
0001870459
-
The dynamics of the Hénon map
-
Benedicks M and Carleson L 1991 The dynamics of the Hénon map Ann. Math. 133 73-169
-
(1991)
Ann. Math.
, vol.133
, Issue.1
, pp. 73-169
-
-
Benedicks, M.1
Carleson, L.2
-
12
-
-
0242373118
-
Numerical approaches to spacetime singularities
-
Berger B K 2002 Numerical approaches to spacetime singularities Living Rev. Rel. 5 (2002-1) 58 (electronic)
-
(2002)
Living Rev. Rel.
, vol.5
, Issue.1-2002
, pp. 58
-
-
Berger, B.K.1
-
16
-
-
0001505323
-
Numerical investigation of cosmological singularities
-
Berger B K and Moncrief V 1993 Numerical investigation of cosmological singularities Phys. Rev. D 48 4676-87
-
(1993)
Phys. Rev.
, vol.48
, Issue.10
, pp. 4676-4687
-
-
Berger, B.K.1
Moncrief, V.2
-
17
-
-
0012465738
-
Exact U(1) symmetric cosmologies with local Mixmaster dynamics
-
Berger B K and Moncrief V 2000 Exact U(1) symmetric cosmologies with local Mixmaster dynamics Phys. Rev. D 62 023509
-
(2000)
Phys. Rev.
, vol.62
, Issue.2
, pp. 023509
-
-
Berger, B.K.1
Moncrief, V.2
-
18
-
-
18144378428
-
Signature for local Mixmaster dynamics in U(1) symmetric cosmologies
-
Berger B K and Moncrief V 2000 Signature for local Mixmaster dynamics in U(1) symmetric cosmologies Phys. Rev. D 62 123501
-
(2000)
Phys. Rev.
, vol.62
, Issue.12
, pp. 123501
-
-
Berger, B.K.1
Moncrief, V.2
-
19
-
-
0034215570
-
Dispersion and collapse of wave maps
-
Bizoń P, Chmaj T and Zbisław T 2000 Dispersion and collapse of wave maps Nonlinearity 13 1411-23
-
(2000)
Nonlinearity
, vol.13
, Issue.4
, pp. 1411-1423
-
-
Bizoń, P.1
Chmaj, T.2
Zbisław, T.3
-
20
-
-
0007502239
-
Formation of singularities for equivariant (2 + 1)-dimensional wave maps into the 2-sphere
-
Bizoń P, Chmaj T and Zbisław T 2001 Formation of singularities for equivariant (2 + 1)-dimensional wave maps into the 2-sphere Nonlinearity 14 1041-53
-
(2001)
Nonlinearity
, vol.14
, Issue.5
, pp. 1041-1053
-
-
Bizoń, P.1
Chmaj, T.2
Zbisław, T.3
-
21
-
-
0242373125
-
-
Chitre D M 1972 Investigations of vanishing of a horizon for Bianchy type X (the Mixmaster) Universe PhD Thesis
-
(1972)
PhD Thesis
-
-
Chitre, D.M.1
-
22
-
-
0002984217
-
'Critical' behaviour in massless scalar field collapse
-
Choptuik M W 1992 'Critical' behaviour in massless scalar field collapse Approaches to Numerical Relativity (Southampton, 1991) (Cambridge: Cambridge University Press) pp 202-22
-
(1992)
Approaches to Numerical Relativity
, pp. 202-222
-
-
Choptuik, M.W.1
-
27
-
-
84990602498
-
Global solutions of nonlinear hyperbolic equations for small initial data
-
Christodoulou D 1986 Global solutions of nonlinear hyperbolic equations for small initial data Commun. Pure Appl. Math. 39 267-82
-
(1986)
Commun. Pure Appl. Math.
, vol.39
, pp. 267-282
-
-
Christodoulou, D.1
-
31
-
-
11744382930
-
Velocity-dominated singularities in irrotational dust cosmologies
-
Eardley D, Liang E and Sachs R K 1972 Velocity-dominated singularities in irrotational dust cosmologies J. Math. Phys. 13 99-107
-
(1972)
J. Math. Phys.
, vol.13
, Issue.1
, pp. 99-107
-
-
Eardley, D.1
Liang, E.2
Sachs, R.K.3
-
32
-
-
12044254590
-
Critical phenomena and self-similarity in the gravitational collapes of radiation fluid
-
Evans C R and Coleman J S 1994 Critical phenomena and self-similarity in the gravitational collapes of radiation fluid Phys. Rev. Lett. 72 1782-5
-
(1994)
Phys. Rev. Lett.
, vol.72
, Issue.12
, pp. 1782-1785
-
-
Evans, C.R.1
Coleman, J.S.2
-
33
-
-
0001816458
-
Quantitative universality for a class of nonlinear transformations
-
Feigenbaum M J 1978 Quantitative universality for a class of nonlinear transformations J. Stat. Phys. 19 25-52
-
(1978)
J. Stat. Phys.
, vol.19
, Issue.1
, pp. 25-52
-
-
Feigenbaum, M.J.1
-
35
-
-
0000168417
-
On the existence of n-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
-
Friedrich H 1986 On the existence of n-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure Commun. Math. Phys. 107 587-609
-
(1986)
Commun. Math. Phys.
, vol.107
, Issue.4
, pp. 587-609
-
-
Friedrich, H.1
-
36
-
-
85038288691
-
Harmonic coordinate method for simulating generic singularities
-
Garfinkle D 2002 Harmonic coordinate method for simulating generic singularities Phys. Rev. D 65 044029 6
-
(2002)
Phys. Rev.
, vol.65
, Issue.4
, pp. 044029
-
-
Garfinkle, D.1
-
37
-
-
14644443796
-
Numerical simulations of generic singuarities
-
Garfinkle D 2004 Numerical simulations of generic singuarities Phys. Rev. Lett. 93 161101
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.16
, pp. 161101
-
-
Garfinkle, D.1
-
39
-
-
84943153812
-
Critical phenomena in gravitational collapse
-
Gundlach C 1999 Critical phenomena in gravitational collapse Living Rev. Rel. 2 (1999-4) 58 (electronic)
-
(1999)
Living Rev. Rel.
, vol.2
, Issue.4-1999
, pp. 58
-
-
Gundlach, C.1
-
40
-
-
0002591468
-
A two-dimensional mapping with a strange attractor
-
Hénon M 1976 A two-dimensional mapping with a strange attractor Commun. Math. Phys. 50 69-77
-
(1976)
Commun. Math. Phys.
, vol.50
, Issue.1
, pp. 69-77
-
-
Hénon, M.1
-
42
-
-
0036425026
-
Asymptotic behaviour in polarized and half-polarized U(1) symmetric vacuum spacetimes
-
Isenberg J and Moncrief V 2002 Asymptotic behaviour in polarized and half-polarized U(1) symmetric vacuum spacetimes Class. Quantum Grav. 19 5361-86
-
(2002)
Class. Quantum Grav.
, vol.19
, Issue.21
, pp. 5361-5386
-
-
Isenberg, J.1
Moncrief, V.2
-
43
-
-
0032378032
-
Analytic description of singularities in Gowdy spacetimes
-
Kichenassamy S and Rendall A D 1998 Analytic description of singularities in Gowdy spacetimes Class. Quantum Grav. 15 1339-55
-
(1998)
Class. Quantum Grav.
, vol.15
, Issue.5
, pp. 1339-1355
-
-
Kichenassamy, S.1
Rendall, A.D.2
-
44
-
-
84990556241
-
1 estimates for solutions to the classical wave equation in three space dimensions
-
1 estimates for solutions to the classical wave equation in three space dimensions Commun. Pure Appl. Math. 37 269-88
-
(1984)
Commun. Pure Appl. Math.
, vol.37
, pp. 269-288
-
-
Klainerman, S.1
-
46
-
-
0038372932
-
Peeling properties of asymptotically flat solutions to the Einstein vacuum equations
-
Klainerman S and Nicolò F 2003 Peeling properties of asymptotically flat solutions to the Einstein vacuum equations Class. Quantum Grav. 20 3215-57
-
(2003)
Class. Quantum Grav.
, vol.20
, Issue.14
, pp. 3215-3257
-
-
Klainerman, S.1
Nicolò, F.2
-
47
-
-
0000360396
-
Critical behavior in gravitational collapse of radiation fluid: A renormalization group (linear perturbation) analysis
-
Koike T, Hara T and Adachi S 1995 Critical behavior in gravitational collapse of radiation fluid: a renormalization group (linear perturbation) analysis Phys. Rev. Lett. 74 5170-3
-
(1995)
Phys. Rev. Lett.
, vol.74
, Issue.26
, pp. 5170-5173
-
-
Koike, T.1
Hara, T.2
Adachi, S.3
-
48
-
-
0004229474
-
-
Lakatos I 1976 Proofs and Refutations (The Logic of Mathematical Discovery) ed J Worrall and E Zahar (Cambridge: Cambridge University Press)
-
(1976)
Proofs and Refutations
-
-
Lakatos, I.1
-
49
-
-
84966250718
-
A computer-assisted proof of the Feigenbaum conjectures
-
Lanford O E III 1982 A computer-assisted proof of the Feigenbaum conjectures Bull. Am. Math. Soc. (NS) 6 427-34
-
(1982)
Bull. Am. Math. Soc. (NS)
, vol.6
, pp. 427-434
-
-
Lanford, O.E.1
-
50
-
-
17444370107
-
Global existence for the Einstein vacuum equations in wave coordinates
-
Lindblad H and Rodnianski I 2005 Global existence for the Einstein vacuum equations in wave coordinates Commun. Math. Phys. 256 43-110
-
(2005)
Commun. Math. Phys.
, vol.256
, Issue.1
, pp. 43-110
-
-
Lindblad, H.1
Rodnianski, I.2
-
51
-
-
0000241853
-
Deterministic nonperiodic flow
-
Lorentz E N 1963 Deterministic nonperiodic flow J. Atmos. Sci. 20 130-41
-
(1963)
J. Atmos. Sci.
, vol.20
, Issue.2
, pp. 130-141
-
-
Lorentz, E.N.1
-
53
-
-
0002406273
-
The Mixmaster cosmological metrics
-
Misner C W 1994 The Mixmaster cosmological metrics Deterministic Chaos in General Relativity (Kananaskis, AB, 1993) (NATO Advanced Science Institutes Series B: Physics vol 332) (New York: Plenum) pp 317-28
-
(1994)
Deterministic Chaos in General Relativity
, pp. 317-328
-
-
Misner, C.W.1
-
54
-
-
0031530993
-
Global dynamics of the Mixmaster model
-
Rendall A D 1997 Global dynamics of the Mixmaster model Class. Quantum Grav. 14 2341-56
-
(1997)
Class. Quantum Grav.
, vol.14
, Issue.8
, pp. 2341-2356
-
-
Rendall, A.D.1
-
55
-
-
1942495033
-
Theorems on existence and global dynamics for the e instein equations
-
Rendall A D 2002 Theorems on existence and global dynamics for the E instein equations Living Rev. Rel. 5 (2002-6) 62 (electronic MR MR1932418 (2003h:83016))
-
(2002)
Living Rev. Rel.
, vol.5
, Issue.6-2002
, pp. 62
-
-
Rendall, A.D.1
-
56
-
-
0035536851
-
Manufacture of Gowdy spacetimes with spikes
-
Rendall A D and Weaver M 2001 Manufacture of Gowdy spacetimes with spikes Class. Quantum Grav. 18 2959-75
-
(2001)
Class. Quantum Grav.
, vol.18
, Issue.15
, pp. 2959-2975
-
-
Rendall, A.D.1
Weaver, M.2
-
57
-
-
0034338081
-
Curvature blow up in Bianchi VIII and IX vacuum spacetimes
-
Ringström H 2000 Curvature blow up in Bianchi VIII and IX vacuum spacetimes Class. Quantum Grav. 17 713-31
-
(2000)
Class. Quantum Grav.
, vol.17
, Issue.4
, pp. 713-731
-
-
Ringström, H.1
-
59
-
-
0035535043
-
The Bianchi IX attractor
-
Ringström H 2001 The Bianchi IX attractor Ann. Henri Poincaré 2 405-500
-
(2001)
Ann. Henri Poincaré
, vol.2
, Issue.3
, pp. 405-500
-
-
Ringström, H.1
-
60
-
-
1142290685
-
Asymptotic expansions close to the singularity in Gowdy spacetimes
-
Ringström H 2004 Asymptotic expansions close to the singularity in Gowdy spacetimes Class. Quantum Grav. 21 S305-S322 (A spacetime safari: essays in honour of Vincent Moncrief)
-
(2004)
Class. Quantum Grav.
, vol.21
, Issue.3
-
-
Ringström, H.1
-
61
-
-
2442450500
-
On a wave map equation arising in general relativity
-
Ringström H 2004 On a wave map equation arising in general relativity Commun. Pure Appl. Math. 57 657-703
-
(2004)
Commun. Pure Appl. Math.
, vol.57
, Issue.5
, pp. 657-703
-
-
Ringström, H.1
-
65
-
-
2442506870
-
Equivariant wave maps in two space dimensions
-
Struwe M 2003 Equivariant wave maps in two space dimensions Commun. Pure Appl. Math. 56 815-23 (dedicated to the memory of Jürgen K Moser)
-
(2003)
Commun. Pure Appl. Math.
, vol.56
, Issue.7
, pp. 815-823
-
-
Struwe, M.1
-
67
-
-
0002061016
-
A rigorous ODE solver and Smale's 14th problem
-
Tucker W 2002 A rigorous ODE solver and Smale's 14th problem Found. Comput. Math. 2 53-117
-
(2002)
Found. Comput. Math.
, vol.2
, Issue.1
, pp. 53-117
-
-
Tucker, W.1
|