Global Existence of Solutions to the Coupled Einstein and Maxwell-Higgs System in the Spherical Symmetry

[1]  A. Rendall.  Theorems on Existence and Global Dynamics for the Einstein Equations , 2002, Living reviews in relativity.

[2]  D. Chae.  Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear Klein-Gordon system , 2001 .

[3]  H. Friedrich,et al.  The Cauchy problem for the Einstein equations , 2000, gr-qc/0002074.

[4]  S. Klainerman,et al.  ON LOCAL AND GLOBAL ASPECTS OF THE CAUCHY PROBLEM IN GENERAL RELATIVITY , 1999 .

[5]  D. Christodoulou.  The instability of naked singularities in the gravitational collapse of a scalar field , 1999, math/9901147.

[6]  T. Piran,et al.  Mass Inflation in Dynamical Gravitational Collapse of a Charged Scalar Field , 1998, gr-qc/9803004.

[7]  T. Piran,et al.  Critical behavior and universality in gravitational collapse of a charged scalar field , 1996, gr-qc/9606093.

[8]  D. Christodoulou.  Examples of naked singularity formation in the gravitational collapse of a scalar field , 1994 .

[9]  S. Klainerman,et al.  On the Maxwell-Klein-Gordon equation with finite energy , 1994 .

[10]  S. Klainerman,et al.  The Global Nonlinear Stability of the Minkowski Space. , 1994 .

[11]  D. Christodoulou.  Bounded variation solutions of the spherically symmetric einstein‐scalar field equations , 1993 .

[12]  G. Rein,et al.  Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data , 1992 .

[13]  D. Christodoulou.  The formation of black holes and singularities in spherically symmetric gravitational collapse , 1991 .

[14]  H. Friedrich.  On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations , 1991 .

[15]  M. Grillakis.  Regularity and asymptotic behavior of the wave equation with a critical nonlinearity , 1990 .

[16]  M. Struwe.  Globally regular solutions to the $u^5$ Klein-Gordon equation , 1988 .

[17]  D. Christodoulou.  The problem of a self-gravitating scalar field , 1986 .

[18]  Douglas M. Eardley,et al.  The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space , 1982 .

[19]  J. Ginibre,et al.  The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge , 1981 .

[20]  Y. Choquet-bruhat,et al.  Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions , 1981 .