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%A Ilyashenko, Y.S.
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%K Ordinary differential equations

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%K Sobolev spaces

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%K Mathematical relativity

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%K T2 symmetry
%K Time foliations
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%K Mathematical cosmology
%K Symmetry
%K Cauchy problem

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%K Nonlinear stability
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%A Rendall, A.D.
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%K Perfect fluids
%K Stability

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%A York, J.W.
%I Plenum
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%B General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein
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%K ADM formalism
%K Existence theorems
%K Hyperbolic equations

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%K Mathematical physics

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%K Black hole formation

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%R 10.1002/cpa.3160460803
%T Bounded Variation Solutions of the Spherically Symmetric Einstein-Scalar Field Equations
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%K Functions of bounded variation

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%J Ann. Math. (2)
%K Naked singularities
%K Self-similarity

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%T The instability of naked singularities in the gravitational collapse of a scalar field
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%T Self-Gravitating Fluids: A Two-Phase Model
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%T Self-Gravitating Fluids: The Continuation and Termination of a Free Phase Boundary
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%T Self-Gravitating Fluids: The Formation of a Free Phase Boundary in the Phase Transition from Soft to Hard
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%K Relativistic fluids

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%A Klainerman, S.
%T Asymptotic properties of linear field equations in Minkowski space
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%R 10.1002/cpa.3160430202
%J Commun. Pure Appl. Math.
%K Linear equations
%K Asymptotics

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%A Christodoulou, D.
%A Klainerman, S.
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%T The Global Nonlinear Stability of the Minkowski Space
%I Princeton University Press

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%A Ó Murchadha, N.
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%A Tahvildar-Zadeh, A.S.
%T On the asymptotic behaviour of spherically symmetric wave maps
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%A Tahvildar-Zadeh, A.S.
%T On the regularity of spherically symmetric wave maps
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%A Chruściel, P.T.
%R 10.1016/0003-4916(90)90341-K
%T On Space-Times with U(1)× U(1) Symmetric Compact Cauchy Surfaces
%V 202
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%J Ann. Phys. (N.Y.)
%K Gowdy models

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%A Chruściel, P.T.
%I Australian National University Press
%T On Uniqueness in the Large of Solutions of Einstein’s Equations (Strong Cosmic Censorship)
%C Canberra
%V 27
%D 1991

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%T Semi-global existence and convergence of solutions of the Robinson–Trautman (2-dimensional Calabi) equation
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%A Isenberg, J.
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%R 10.1088/0264-9381/7/10/003
%T Strong Cosmic Censorship in Polarized Gowdy Spacetimes
%V 7
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%K Gowdy spacetime

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%A Newman, K.P.
%T The Cauchy problem for quasi-linear hyperbolic evolution problems with a singularity in the time
%V 454
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%P 1073–1107
%J Proc. R. Soc. London, Ser. A

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%T Espaces de Sobolev non isotropes, à poids et problèmes de Cauchy quasi-linéaires sur un conoï de caractéristique
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%J Ann. Inst. Henri Poincare A
%K Characteristic initial value problem

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%A Moncrief, V.
%T The global existence of Yang–Mills fields in M^{3+1}
      
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%J Commun. Math. Phys.
%K Yang-Mills equations

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%A Friedrich, H.
%T Existence and structure of past asymptotically simple solutions of Einstein’s field equations with positive cosmological constant
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%J J. Geom. Phys.

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%A Friedrich, H.
%T On the global existence and asymptotic behaviour of solutions to the Einstein–Yang–Mills equations
%V 34
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%P 275–345
%J J. Differ. Geom.

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%P 125–184
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%T Einstein equations and conformal structure: Existence of anti-de-Sitter-type space-times
%R 10.1016/0393-0440(94)00042-3
%J J. Geom. Phys.
%K Initial boundary value problem
%K Anti-de Sitter space

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%A Friedrich, H.
%P 1451–1469
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%T Hyperbolic reductions for Einstein’s equations
%R 10.1088/0264-9381/13/6/014
%J Class. Quantum Grav.
%K Hyperbolicity
%K Reduction
%K Hyperbolic systems
%K Frames
%K Harmonic gauge

%0 
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%A Friedrich, H.
%P 83–163
%D 1998
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%T Gravitational fields near space-like and null infinity
%R 10.1016/S0393-0440(97)82168-7
%J J. Geom. Phys.
%K Asymptotic flatness
%K Spatial infinity
%K Null infinity

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%A Frittelli, S.
%A Reula, O.A.
%R 10.1007/BF02112314
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%T On the Newtonian Limit of General Relativity
%J Commun. Math. Phys.
%K Newtonian limit

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%A Hartman, P.
%I Birkhäuser
%C Boston, U.S.A.
%7 2nd
%D 1982
%T Ordinary Differential Equations

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%T Stationary Black Holes: Uniqueness and Beyond
%U http://www.livingreviews.org/lrr-1998-6
%V 1
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%J Living Rev. Relativity

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%A Heusler, M.
%I Cambridge University Press
%D 1996
%C Cambridge; New York
%T Black Hole Uniqueness Theorems
%K Black hole uniqueness theorems

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%A Hubbard, J.H.
%A West, B.H.
%I Springer
%T Differential Equations: A Dynamical Systems Approach, Vol. 1: Ordinary Differential Equations
%C Berlin, Germany; New York, U.S.A.
%V 5
%7 3rd
%D 1991

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%A Isenberg, J.A.
%T Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
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%J Class. Quantum Grav.

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%A Moncrief, V.
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%T Asymptotic behavior of the gravitational field and the nature of singularities in Gowdy spacetimes
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%J Ann. Phys. (N.Y.)

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%A Moncrief, V.
%T A set of nonconstant mean curvature solutions of the Einstein constraint equations on closed manifolds
%V 13
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%R 10.1088/0264-9381/13/7/015
%J Class. Quantum Grav.

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%A John, F.
%I Springer
%T Partial Differential Equations
%C Berlin; New York
%V 1
%7 4th
%D 1982
%K Partial differential equations
%K Differential equations

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%A John, F.
%D 1990
%V 2
%C Providence, RI
%T Nonlinear Wave Equations, Formation of Singularities
%I American Mathematical Society

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%A Kichenassamy, S.
%I Marcel Dekker
%T Nonlinear Wave Equations
%C New York
%V 194
%D 1996

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%A Machedon, M.
%T Finite energy solutions of the Yang–Mills equations in R^{3+1}
      
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%J Ann. Math.

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%A Kunz, J.
%R 10.1103/PhysRevD.57.834
%T Static axially symmetric Einstein-Yang-Mills-Dilaton solutions: Regular solutions
%V 57
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%J Phys. Rev. D
%K Einstein-Yang-Mills-dilaton theory
%K Hairy black holes
%K Axial symmetry
%K Dilaton fields

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%I Springer
%T Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
%C Berlin, Germany; New York, U.S.A.
%V 53
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%K Hydrodynamics

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%R 10.1016/0003-4916(81)90270-0
%T Global Properties of Gowdy Spacetimes with T^{3} × R Topology
%V 132
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%J Ann. Phys. (N.Y.)

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%T Neighbourhoods of Cauchy horizons in cosmological spacetimes with one Killing field
%V 141
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%R 10.1016/0003-4916(82)90273-1
%J Ann. Phys. (N.Y.)
%K Cauchy horizons

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%A Eardley, D.M.
%R 10.1007/BF00764275
%T The Global Existence Problem and Cosmic Censorship in General Relativity
%V 13
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%J Gen. Relativ. Gravit.

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%T On the Structure of Conformal Singularities in Classical General Relativity
%V 443
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%P 473–492
%J Proc. R. Soc. London

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%A Racke, R.
%I Vieweg
%T Lectures on Nonlinear Evolution Equations: Initial Value Problems
%C Wiesbaden, Germany
%V 19
%D 1992

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%A Rein, G.
%R 10.1017/S0305004100074569
%T Cosmological solutions of the Vlasov–Einstein system with spherical, plane and hyperbolic symmetry
%V 119
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%J Math. Proc. Camb. Phil. Soc.
%K Hyperbolic symmetry
%K Einstein-Vlasov system

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%A Rein, G.
%T Nonlinear Stability of Homogeneous Models in Newtonian Cosmology
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%R 10.1007/s002050050070
%J Arch. Ration. Mech. Anal.

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%A Rendall, A.D.
%T Global Existence of Classical Solutions to the Vlasov–Poisson System in a Three Dimensional, Cosmological Setting
%V 126
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%R 10.1007/BF00391558
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%R 10.1098/rspa.1990.0009
%T Reduction of the Characteristic Initial Value Problem to the Cauchy Problem and Its Applications to the Einstein Equations
%V 427
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%J Proc. R. Soc. London, Ser. A

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%T On the definition of post-Newtonian approximations
%V 438
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%J Proc. R. Soc. London, Ser. A
%K Post-Newtonian approximations
%K Equations of motion
%K Gravitational radiation

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%R 10.1007/BF02101736
%T The Newtonian limit for asymptotically flat solutions of the Einstein-Vlasov system
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%K Kinetic theory
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%R 10.1088/0264-9381/12/6/017
%T Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry
%V 12
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%J Class. Quantum Grav.

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%T Constant mean curvature foliations in cosmological spacetimes
%V 69
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%J Helv. Phys. Acta

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%R 10.1016/S0362-546X(96)00203-9
%T Existence and non-existence results for global constant mean curvature foliations
%V 30
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%J Nonlinear Anal.

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%A Wasserman, A.G.
%A Yau, S.-T.
%A McLeod, J.B.
%R 10.1007/BF02100288
%T Smooth static solutions of the Einstein/Yang-Mills equations
%V 143
%D 1991
%P 115–147
%J Commun. Math. Phys.

%0 Book
%U http://relativity.livingreviews.org/refdb/record/1031
%A Strauss, W.
%I American Mathematical Society
%T Nonlinear Wave Equations
%C Providence, U.S.A.
%V 73
%D 1989

%0 Book
%U http://relativity.livingreviews.org/refdb/record/1033
%A Taylor, M.E.
%I Birkhäuser
%T Pseudodifferential Operators and Nonlinear PDE
%C Boston, U.S.A.
%V 100
%D 1991
%K Pseudodifferential operators

%0 Book
%U http://relativity.livingreviews.org/refdb/record/1034
%A Taylor, M.E.
%I Springer
%T Partial Differential Equations
%C Berlin, Germany; New York, U.S.A.
%V 115-117
%D 1996

%0 
%U http://relativity.livingreviews.org/refdb/record/11558
%A Tod, K.P.
%T Isotropic singularities
%V 50
%D 1992
%P 69–93
%J Rend. Sem. Mat. Univ. Pol. Torino

%0 Conference Paper
%U http://relativity.livingreviews.org/refdb/record/11559
%A Tod, K.P.
%S Proceedings of the congress held at the University of Queensland, Brisbane, Australia, July 13–19 1997
%I International Press
%T Isotropic cosmological singularities
%B XIIth International Congress of Mathematical Physics (ICMP ’97)
%C Somerville, U.S.A.
%E De Wit, D. and Bracken, A.J. and Gould, M.D. and Pearce, P.A.
%D 1999

%0 Book
%U http://relativity.livingreviews.org/refdb/record/1037
%A Wainwright, J.
%A Ellis, G.F.R.
%I Cambridge University Press
%C Cambridge; New York
%D 1997
%T Dynamical Systems in Cosmology
%K Relativistic cosmology

%0 
%U http://relativity.livingreviews.org/refdb/record/1041
%A Witt, D.
%T Vacuum spacetimes that admit no maximal slice
%V 57
%D 1986
%P 1386–1389
%R 10.1103/PhysRevLett.57.1386
%J Phys. Rev. Lett.

%0 Conference Paper
%U http://relativity.livingreviews.org/refdb/record/1042
%A Woodhouse, N.M.J.
%S Proceedings of the Workshop on Mathematical Aspects of Theories of Gravitation, held in Warsaw, Poland, February 29 – March 30, 1996
%I Polish Academy of Sciences, Institute of Mathematics
%T Integrability and Einstein’s equations
%B Mathematics of Gravitation, Part I: Lorentzian Geometry and Einstein Equations
%C Warsaw, Poland
%V 41
%E Chruściel, P.T.
%D 1997
%P 221–232
%K Twistors