A causal order for spacetimes with C0 Lorentzian metrics: Proof of compactness of the space of causal curves

Classical and Quantum Gravity

Volumn 13, Issue 7, 1996, Pages 1971-1993

  Sorkin, R D ^a,b   Woolgar, E ^c,d  

^a SYRACUSE UNIVERSITY   (United States)

^b INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

^c UNIVERSITY OF SASKATCHEWAN   (Canada)

^d UNIVERSITY OF WINNIPEG   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344460078     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/13/7/023     Document Type: Article

References (15)

1. Penrose R, Sorkin R D and Woolgar E 1992 A positive mass theorem based on the focusing and retardation of null geodesies Preprint (available from the gr-qc archive as Paper: gr-qc/9301015);
2. Penrose R 1990 Twister Newsletter 30 1
3. Sorkin R D and Woolgar E 1992 Proc. 4th Can. Conf. on General Relativity and Relativistic Astrophysics ed G Kunstatter, D E Vincent and J G Williams p 206 (Singapore: World Scientific);
4. Proc. Sixth Marcel Grossmann Meeting on General Relativity ed H Sato and T Nakamura (Singapore: World Scientific) p 754
5. Sorkin R D 1990 Consequences of spacetime topology Proc. 3rd Canadian Conference on General Relativity and Relativistic Astrophysics (Victoria, Canada, May 1989) ed A Coley, F Cooperstock and B Tupper (Singapore: World Scientific) pp 137-63
6. Borde A and Sorkin R D 1996 Causal cobordism: topology change without causal anomalies (in preparation)
7. Beem J K and Ehrlich P E 1981 Global Lorentzian Geometry (New York: Dekker)
8. Nityananda R and Samuel J 1992 Phys. Rev. D 45 3862
9. Klein E and Thompson A C 1984 Theory of Correspondences (Can. Math. Soc. Ser. of Monographs and Advanced Texts) (New York: Wiley)
10. Kelley J L 1955 General Topology (Toronto: van Nostrand)
11. Hawking S W and Ellis G F R 1973 The Large Scale Structure of Spacetime (Cambridge: Cambridge University Press)
12. Penrose R 1972 Techniques of Differential Topology in Relativity (AMS Colloquium Publications) (Philadelphia, PA: SIAM)
13. Kamke E 1950 Theory of Sets (transl. F Bagemihl) (New York: Dover) ch III
14. Blumenthal L M and Menger K 1970 Studies in Geometry (San Francisco: W H Freeman) Theorem 12.3.
15. Low R 1995 Private communication