Cosmological spacetimes not covered by a constant mean curvature slicing

Classical and Quantum Gravity

Volumn 15, Issue 11, 1998, Pages 3679-3688

  Isenberg, James ^a   Rendall, Alan D ^b  

^a UNIVERSITY OF OREGON   (United States)

^b ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032352103     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/15/11/025     Document Type: Article

References (16)

1. Bartnik R 1988 Remarks on cosmological spacetimes und constant mean curvature surfaces Commun. Math. Phys. 117 615-24
2. Budic R, Lindblom L, Isenberg J and Yasskin P 1978 On the determination of Cauchy surfaces from intrinsic properties Commun. Math. Phys. 61 87-95
3. Choquet-Bruhat Y 1958 Théorèmes d'existence en mécanique des fluides relativistes Bull. Soc. Math. France 86 155-75
4. Choquet-Bruhat Y 1974 The stability of the solutions of nonlinear hyperbolic equations on a manifold Russ. Math. Surveys 29 327-35
5. Choquet-Bruhat Y and York J 1980 The Cauchy problem General Relativity and Gravitation ed A Held (New York: Plenum)
6. Courant R and Hilbert D 1989 Methods of Mathematical Physics vol 2 (New York: Wiley) ch VI
7. Eardley D and Smarr L 1979 Time functions in numerical relativity: marginally bound dust collapse Phys. Rev. D 19 2239-59
8. Hawking S W and Eilis G F R 1973 The Large-scale Structure of Spacetime (Cambridge: Cambridge University Press)
9. Isenberg J 1996 Constant mean curvature solutions of the Einstein constraint equations Class. Quantum Grav. 13 1819-47
10. Joshi P S 1993 Global Aspects in Gravitation and Cosmology (Oxford: Oxford University Press)
11. Krasinski A 1997 Inhomogeneous Cosmological Models (Cambridge: Cambridge University Press)
12. Leray J 1951 Hyperbolic Differential Equations (Princeton, NJ: Institute for Advanced Study)
13. Malec E and Ó Murchadha N 1994 Optical scalars and singularity avoidance in spherical spacetimes Phys. Rev. D 50 R6033-6
14. Rendall A D 1997 Existence of constant mean curvature foliations in spacetimes with two-dimensional local symmetry Commun. Math. Phys. 189 145-64
15. Rendall A D 1997 Existence and non-existence results for global constant mean curvature foliations Nonlin. Anal. Theory Methods Appl. 30 3589-98
16. Rendall A D 1996 Constant mean curvature foliations in cosmological spacetimes Helv. Phys. Acta 69 490-500