The stability of abstract boundary essential singularities

General Relativity and Gravitation

Volumn 34, Issue 10, 2002, Pages 1625-1635

  Ashley, Michael J S L ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Abstract boundary; Essential singularity; Space time; Stability

Indexed keywords

EID: 0141564734     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020168106488     Document Type: Conference Paper

References (9)

1. Geroch, R. and Horowitz, G. T. (Global structure of space-time). General Relativity: An Einstein Centenary Survey S. Hawking and W. Israel, Cambridge: Cambridge University Press, 1979, 212.
2. Ashley, M. J. S. L. and Scott, S. M., in press.
3. Beem, J. K., Ehrlich, P. E. and Easley, K. L. (1996). Global Lorentzian Geometry, Marcel Dekker Inc., New York.
4. Hawking, S. W. and Ellis, G. F. R. (1973). The Large Scale Structure of Space-time, Cambridge University Press, Cambridge.
5. Beem, J. K. and Ehrlich, P. E. (1987). Geodesic completeness and stability, Math. Proc. Camb. Phil. Soc. 102, 319-328.
6. Williams, P. M. (1984). Completeness and its stability on manifolds with connection, Ph.D. dissertation, University of Lancaster.
7. Beem, J. K. (1994). Stability of geodesic incompleteness, in: Differential Geometry and Mathematical Physics, Contemporary Math. Series, 170, eds. J. K. Beem and K. L. Duggal American Mathematical Society, Providence, RI.
8. Scott, S. M. and Szekeres, P. The abstract boundary - a new approach to singularities of manifolds, (1994). J. Geom. Phys. 13, 223-253.
9. Penrose, R. (1972). Techniques of Differential Topology in Relativity, Society for Industrial and Applied Mathematics, Philadelphia.