The cosmological time function

Classical and Quantum Gravity

Volumn 15, Issue 2, 1998, Pages 309-322

  Andersson, Lars ^a,d   Galloway, Gregory J ^b   Howard, Ralph ^c  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF MIAMI   (United States)

^c UNIVERSITY OF SOUTH CAROLINA   (United States)

^d ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032340442     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/15/2/006     Document Type: Article

References (10)

1. Andersson L, Galloway G J and Howard R 1996 A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian geometry Commun. Pure Appl. Math. to be published
2. Andersson L and Howard R 1998 Comparison and rigidity theorems in semi-Riemannian geometry Commun. Anal. Geom. to appear
3. Bangert V 1979 Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten J. Reine Angew. Math. 307/308 309-24
4. Beem J K, Ehrlich P E and Easley K L 1996 Global Lorentzian Geometry 2nd edn (Pure and Applied Mathematics 202) (New York: Dekker)
5. Crandall M G, Ishii H and Lions P-L 1992 Users guide to viscosity solutions of second order partial differential equations Bull. Am. Math. Soc. 27 1-67
6. Eschenburg J-H 1987 Comparison theorems and hypersurfaces Manuscripta Math. 59 295-323
7. Eschenburg J-H and Galloway G J 1992 Lines in spacetimes Commun. Math. Phys. 148 209-16
8. Galloway G J and Horta A 1996 Regularity of Lorentzian Busemann functions Trans. Am. Math. Soc. 348 2063-83
9. Hawking S and Ellis G F W 1973 The Large Scale Structure of Space-Time (Cambridge: Cambridge University Press)
10. Penrose R 1972 Techniques of Differential Topology in Relativity (CBMS Regional Conference Series in Applied Mathematics 7) (Philadelphia, PA: SIAM)