Future global in time Einsteinian spacetimes with U(1) isometry group

Annales Henri Poincare

Volumn 2, Issue 6, 2001, Pages 1007-1064

  Choquet Bruhat, Yvonne ^a   Moncrief, Vincent ^a,b  

^a Tour 22 12 4ème étage ^*  (France)

^b Yale University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035543266     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-001-8602-5     Document Type: Article

References (8)

1. V. Moncrief, Reduction of Einstein equations for vacuum spacetimes with U(1) spacelike isometry group, Annals of Physics 167, 118-142 (1986).
2. A. Fisher and A. Tromba, Teichmüller spaces, Math. Ann. 267, 311-345 (1984). Cf. also Y. Choquet-Bruhat and C. DeWitt-Morette, Analysis Manifolds and Physics, Part II, supplemented edition North Holland, 2000.
3. A. Fisher and A. Tromba, Teichmüller spaces, Math. Ann. 267, 311-345 (1984). Cf. also Y. Choquet-Bruhat and C. DeWitt-Morette, Analysis Manifolds and Physics, Part II, supplemented edition North Holland, 2000.
4. J. Cameron and V. Moncrief, The reduction of Einstein's vacuum equations on space times with U(1) isometry group. Contemporary Mathematics 132, 143-169 (1992).
5. D. Christodoulou and S. Klainerman, The global nonlinear stability of the Minkowski space, Princeton University Press 1992.
6. Y. Choquet-Bruhat and V. Moncrief, Existence theorem for solutions of Einstein equations with 1 parameter spacelike isometry group,Proc. Symposia in Pure Math, 59, 1994, H. Brezis and I.E. Segal ed. 67-80
7. Y. Choquet-Bruhat and J. W. York, Well posed system for the Einstein equations, C. R. Acad. Sci. Paris 321, 1089-1095 (1995).
8. L. Andersson, V. Moncrief and A. Tromba, On the global evolution problem in 2+1 gravity, J. Geom. Phys. 23, 1991-205 (1997) n° 3-4.