Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes

Communications in Mathematical Physics

Volumn 257, Issue 1, 2005, Pages 43-50

  Bernal, Antonio N ^a   Sánchez, Miguel ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18844433858     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1346-1     Document Type: Article

References (7)

1. Beem, J.K., Ehrlich, P.E., Easley, K.L.: Global Lorentzian Geometry. Monographs Textbooks Pure Appl. Math. 202, New York: Dekker Inc., 1996
2. Bernal, A. N., Sánchez, M.: On Smooth Cauchy Hypersurfaces and Geroch's Splitting Theorem. Commun. Math. Phys. 243, 461-470 (2003)
3. Geroch, R.: Domain of dependence. J. Math. Phys. 11, 437-449 (1970)
4. Hawking, S.W.: The existence of Cosmic Time Functions. Proc. Roy. Soc. London, Series A 308, 433-135 (1969)
5. Hawking, S.W., Ellis, G.F.R.: The large scale structure of space-time. Cambridge Monographs on Mathematical Physics, No. 1. London-NewYork: Cambridge University Press, 1973
6. Sachs, R.K., Wu, H.: General Relativity and Cosmology. Bull. Amer. Math. Soc. 83(6), 1101-1164 (1977)
7. th School of Differential Geometry, Sao Paulo, Brazil, 2004 (to appear in Matematica Contemporanea). Available at http://arxiv.org/list/gr-qc/ 0411143, 2004