Andersson, L., ``The global existence
problem in general relativity'', (November, 1999), [Online
Los Alamos Archive Preprint]: cited on 4 December 1999,
http://xxx.lanl.gov/abs/gr-qc/9911032
.
Andersson, L., Chrusciel, P. T., and
Friedrich, H., ``On the regularity of solutions to the
Yamabe equation and the existence of smooth hyperboloidal
initial data for Einstein's field equations'',
Commun. Math. Phys.,
149, 587-612, (1992).
Andréasson, H., ``Regularity of the gain
term and strong
convergence to equilibrium for the relativistic Boltzmann
equation'',
SIAM J. Math. Anal.,
27, 1386-1405, (1996).
Anguige, K., ``Isotropic cosmological
singularities 3: The Cauchy problem for the inhomogeneous
conformal Einstein-Vlasov equations'', (March, 1999),
[Online Los Alamos Archive Preprint]: cited on 21 September
1999,
http://xxx.lanl.gov/abs/gr-qc/9903018
.
Anguige, K., ``A class of plane symmetric
perfect-fluid cosmologies with a Kasner-like singularity'',
(August, 1999), [Online Los Alamos Archive Preprint]: cited
on 21 September 1999,
http://xxx.lanl.gov/abs/gr-qc/9908072
.
Anguige, K., and Tod, K. P.,
``Isotropic cosmological singularities 1: Polytropic
perfect fluid spacetimes'',
Ann. Phys. (N. Y.),
276, 257-293, (1999).
Arnold, V. I., and Ilyashenko,
Yu. S., ``Ordinary differential equations'', in
Anosov, D.V., and Arnold, V.I., eds.,
Dynamical Systems I., 1-148, (Springer, Berlin, 1988).
Baouendi, M. S., and Goulaouic, C.,
``Remarks on the abstract form of nonlinear
Cauchy-Kovalevsky theorems'',
Commun. Part. Diff. Eq.,
2, 1151-1162, (1977).
Batt, J., Faltenbacher, W., and Horst, E.,
``Stationary spherically symmetric models in stellar
dynamics'',
Arch. Rat. Mech. Anal.,
93, 159-183, (1986).
Beale, J. T., Hou, T. Y., and
Lowengrub, J. S., ``Growth rates for the linearized
motion of fluid interfaces away from equilibrium'',
Commun. Pure Appl. Math.,
46, 1269-1301, (1993).
Belinskii, V. A., Khalatnikov,
I. M., and Lifshitz, E. M., ``Oscillatory
approach to a singular point in the relativistic
cosmology'',
Adv. Phys.,
19, 525-573, (1970).
Belinskii, V. A., Khalatnikov,
I. M., and Lifshitz, E. M., ``A general solution
of the Einstein equations with a time singularity'',
Adv. Phys.,
31, 639-667, (1982).
Berger, B. K., Chrusciel, P. T.,
Isenberg, J., and Moncrief, V., ``Global foliations of
vacuum spacetimes with
isometry'',
Ann. Phys. (N. Y.),
260, 117-148, (1997).
Berger, B. K., Chrusciel, P. T.,
and Moncrief, V., ``On asymptotically flat spacetimes with
-invariant Cauchy surfaces'',
Ann. Phys. (N. Y.),
237, 322-354, (1995).
Bourguignon, J.-P., ``Stabilité par
déformation non-linéaire de la métrique de Minkowski
(d'après D. Christodoulou et S. Klainerman)'',
Astérisque,
201-203, 321-358, (1992).
Brauer, U., Rendall, A. D., and Reula,
O. A., ``The cosmic no-hair theorem and the nonlinear
stability of homogeneous Newtonian cosmological models'',
Class. Quantum Grav.,
11, 2283-2296, (1994).
Brodbeck, O., Heusler, M., Straumann, N.,
and Volkov, M., ``Rotating solitons and non-rotating
non-static black holes'',
Phys. Rev. Lett.,
79, 4310-4313, (1997).
Burnett, G. A., and Rendall,
A. D., ``Existence of maximal hypersurfaces in some
spherically symmetric spacetimes'',
Class. Quantum Grav.,
13, 111-123, (1996).
Choquet-Bruhat, Y., Isenberg, J., and York,
J. W., ``Einstein constraints on asymptotically
Euclidean manifolds'', (June, 1999), [Online Los Alamos
Archive Preprint]: cited on 20 August 1999,
http://xxx.lanl.gov/abs/gr-qc/9906095
.
Choquet-Bruhat, Y., and York, J., ``The
Cauchy problem'', in Held, A., ed.,
General relativity and gravitation, volume 1, 99-172, (Plenum, New York, 1980).
Christodoulou, D., ``Global existence of
generalised solutions of the spherically symmetric
Einstein-scalar equations in the large'',
Commun. Math. Phys.,
106, 587-621, (1986).
Christodoulou, D., ``The structure and
uniqueness of generalised solutions of the spherically
symmetric Einstein-scalar equations'',
Commun. Math. Phys.,
109, 591-611, (1987).
Christodoulou, D., ``The formation of black
holes and singularities in spherically symmetric
gravitational collapse'',
Commun. Pure Appl. Math.,
44, 339-373, (1991).
Christodoulou, D., ``Bounded variation
solutions of the spherically symmetric Einstein-scalar
field equations'',
Commun. Pure Appl. Math.,
46, 1131-1220, (1993).
Christodoulou, D., ``Self-gravitating
fluids: the continuation and termination of a free phase
boundary'',
Arch. Rat. Mech. Anal.,
133, 333-398, (1996).
Christodoulou, D., ``Self-gravitating
fluids: the formation of a free phase boundary in the phase
transition from soft to hard'',
Arch. Rat. Mech. Anal.,
134, 97-154, (1996).
Christodoulou, D., and Klainerman, S.,
``Asymptotic properties of linear field equations in
Minkowski space'',
Commun. Pure Appl. Math.,
43, 137-199, (1990).
Christodoulou, D., and Tahvildar-Zadeh,
A. S., ``On the regularity of spherically symmetric
wave maps'',
Commun. Pure Appl. Math.,
46, 1041-1091, (1993).
Chrusciel, P. T.,
On the uniqueness in the large of solutions of
Einstein's equations. (Strong cosmic censorship.), volume 20 of
Proc. Centre Math. Anal., (Australian National University, Canberra, 1991).
Chrusciel, P. T., ``Semi-global
existence and convergence of solutions of the
Robinson-Trautman (2-dimensional Calabi) equation'',
Commun. Math. Phys.,
137, 289-313, (1991).
Claudel, C. M., and Newman,
K. P., ``The Cauchy problem for quasi-linear
hyperbolic evolution problems with a singularity in the
time'',
Proc. R. Soc. London, Ser. A,
454, 1073-1107, (1998).
DiPerna, R. J., and Lions, P.-L., ``On
the Cauchy problem for Boltzmann equations: global
existence and weak stability'',
Ann. Math.,
130, 321-366, (1989).
Dossa, M., ``Espaces de Sobolev non
isotropes, à poids et problèmes de Cauchy quasi-linéaires
sur un conoïde caractéristique'',
Ann. Inst. Henri Poincaré, A.,
66, 37-107, (1997).
Ehlers, J., ``The Newtonian limit of
general relativity'', in Ferrarese, G., ed.,
Classical mechanics and relativity: relationship and
consistency, (Bibliopolis, Naples, 1991).
Friedrich, H., ``Existence and structure of
past asymptotically simple solutions of Einstein's field
equations with positive cosmological constant'',
J. Geom. Phys.,
3, 101-117, (1986).
Friedrich, H., ``On the global existence
and asymptotic behaviour of solutions to the
Einstein-Yang-Mills equations'',
J. Differ. Geom.,
34, 275-345, (1991).
Glassey, R. T., and Schaeffer, J.,
``The relativistic Vlasov-Maxwell system in two space
dimensions. Part 1'',
Arch. Rat. Mech. Anal.,
141, 331-354, (1998).
Glassey, R. T., and Schaeffer, J.,
``The relativistic Vlasov-Maxwell system in two space
dimensions. Part 2'',
Arch. Rat. Mech. Anal.,
141, 355-374, (1998).
Guo, Y., and Tahvildar-Zadeh, A. S.,
``Formation of singularities in relativistic fluid dynamics
and in spherically symmetric plasma dynamics'', in Chen,
G.-Q., and DiBenedetto, E., eds.,
Nonlinear partial differential equations, (AMS, Providence, 1999).
Hauser, I., and Ernst, F. J., ``Group
structure of the solution manifold of the hyperbolic Ernst
equation - general study of the subject and detailed
elaboration of mathematical proofs'', (March, 1999),
[Online Los Alamos Archive Preprint]: cited on 4 December
1999,
http://xxx.lanl.gov/abs/gr-qc/9903104
.
Isenberg, J., ``Constant mean curvature
solutions of the Einstein constraint equations on closed
manifolds'',
Class. Quantum Grav.,
12, 2249-2274, (1995).
Isenberg, J., and Moncrief, V.,
``Asymptotic behaviour of the gravitational field and the
nature of singularities in Gowdy spacetimes'',
Ann. Phys. (N. Y.),
199, 84-122, (1990).
Isenberg, J., and Moncrief, V., ``A set of
nonconstant mean curvature solutions of the Einstein
constraint equations on closed manifolds'',
Class. Quantum Grav.,
13, 1819-1847, (1996).
Isenberg, J., and Rendall, A. D.,
``Cosmological spacetimes not covered by a constant mean
curvature slicing'',
Class. Quantum Grav.,
15, 3679-3688, (1998).
Kind, S., and Ehlers, J., ``Initial
boundary value problem for the spherically symmetric
Einstein equations for a perfect fluid'',
Class. Quantum Grav.,
18, 2123-2136, (1993).
Klainerman, S., and Nicoló, F., ``On local
and global aspects of the Cauchy problem in general
relativity'',
Class. Quantum Grav.,
16, R73-R157, (1999).
Lions, P.-L., and Perthame, B.,
``Propagation of moments and regularity for the
three-dimensional Vlasov-Poisson system'',
Invent. Math.,
105, 415-430, (1991).
Moncrief, V., and Eardley, D., ``The global
existence problem and cosmic censorship in general
relativity'',
Gen. Relativ. Gravit.,
13, 887-892, (1981).
Newman, R. P. A. C., ``On the
structure of conformal singularities in classical general
relativity'',
Proc. R. Soc. London,
443, A473-492; A493-515, (1993).
Park, J., ``Static solutions of the
Einstein equations for spherically symmetric elastic
bodies'', (October, 1998), [Online Los Alamos Archive
Preprint]: cited on 17 August 1999,
http://xxx.lanl.gov/abs/gr-qc/9810010
.
Pfaffelmoser, K., ``Global classical
solutions of the Vlasov-Poisson system in three dimensions
for general initial data'',
J. Differ. Equations,
95, 281-303, (1992).
Rein, G., ``Cosmological solutions of the
Vlasov-Einstein system with spherical, plane and hyperbolic
symmetry'',
Math. Proc. Cambridge,
119, 739-762, (1996).
Rein, G., and Rendall, A. D.,
``Compact support of spherically symmetric equilibria in
relativistic and non-relativistic galactic dynamics'',
(December, 1998), [Online Los Alamos Archive Preprint]:
cited on 17 August 1999,
http://xxx.lanl.gov/abs/gr-qc/9812061
.
Rein, G., and Rendall, A. D., ``Global
existence of solutions of the spherically symmetric
Vlasov-Einstein system with small initial data'',
Commun. Math. Phys.,
150, 561-583, (1992).
Rein, G., and Rendall, A. D., ``Smooth
static solutions of the spherically symmetric
Vlasov-Einstein system'',
Ann. Inst. Henri Poincarè, A.,
59, 383-397, (1993).
Rein, G., and Rendall, A. D., ``Global
existence of classical solutions to the Vlasov-Poisson
system in a three dimensional, cosmological setting'',
Arch. Rat. Mech. Anal.,
126, 183-201, (1994).
Rein, G., Rendall, A. D., and
Schaeffer, J., ``A regularity theorem for solutions of the
spherically symmetric Vlasov-Einstein system'',
Commun. Math. Phys.,
168, 467-478, (1995).
Rein, G., Rendall, A. D., and
Schaeffer, J., ``Critical collapse of collisionless matter
- a numerical investigation'',
Phys. Rev. D,
58, 044007, (1998).
Rendall, A. D., ``Reduction of the
characteristic initial value problem to the Cauchy problem
and its applications to the Einstein equations'',
Proc. R. Soc. London, Ser. A,
427, 221-239, (1990).
Rendall, A. D., ``Existence of
constant mean curvature hypersurfaces in spacetimes with
two-dimensional local symmetry'',
Commun. Math. Phys.,
189, 145-164, (1997).
Rendall, A. D., ``Solutions of the
Einstein equations with matter'', in Francaviglia, M.,
Longhi, G., Lusanna, L., and Sorace, E., eds.,
Proceedings of the 14th International Conference on
General Relativity and Gravitation, 313-335, (World Scientific, Singapore, 1997).
Rendall, A. D., and Schmidt,
B. G., ``Existence and properties of spherically
symmetric static fluid bodies with given equation of
state'',
Class. Quantum Grav.,
8, 985-1000, (1991).
Rendall, A. D., and Tod, K. P.,
``Dynamics of spatially homogeneous solutions of the
Einstein-Vlasov equations which are locally rotationally
symmetric'',
Class. Quantum Grav.,
16, 1705-1726, (1999).
Ringström, H., ``Curvature blow up in
Bianchi VIII and IX vacuum spacetimes'', (November, 1999),
[Online Los Alamos Archive Preprint]: cited on 4 December
1999,
http://xxx.lanl.gov/abs/gr-qc/9911115
.
Smoller, J. A., Wasserman, A. G.,
Yau, S. T., and Mcleod, J. B., ``Smooth static
solutions of the Einstein-Yang-Mills equations'',
Commun. Math. Phys.,
143, 115-147, (1991).
Wainwright, J. A., Hancock,
M. J., and Uggla, C., ``Asymptotic self-similarity
breaking at late times in cosmology'',
Class. Quantum Grav.,
16, 2577-2598, (1999).
Weaver, M., ``Dynamics of magnetic Bianchi
VI
cosmologies.'', (September, 1999), [Online Los Alamos
Archive Preprint]: cited on 21 September 1999,
http://xxx.lanl.gov/abs/gr-qc/9909043
.