A space–time, locally identical to the usual de Sitter space–time but globally different because of a kink in its light cone field, is described in various coordinate systems. Two separate coordinate patches are needed. Each original patch is geodesically incomplete and so is extended by the Kruskal method. The space–time, which is not globally hyperbolic, is shown to be foliated by a family of hypersurfaces each of which is homeomorphic to a three‐sphere but none of which is everywhere spacelike.  

1.
D.
Finkelstein
and
C. W.
Misner
,
Ann. Phys. (NY)
6
,
230
(
1959
);
in Les Théeories Relativistes de la Gravitation, Actes du Colloque International, Organisé á Royaumont, 21–27 June 1959, edited by M. A. Lichnerowicz and M. A. Tonnelat (C.N.R.S., Paris, 1962).
2.
K. A.
Dunn
,
T. A.
Harriott
, and
J. G.
Williams
,
J. Math. Phys.
32
,
476
(
1991
).
3.
D.
Finelstein
,
Phys. Rev.
110
,
965
(
1958
).
4.
D.
Finkelstein
and
G.
McCollum
,
J. Math. Phys.
16
,
2250
(
1975
).
5.
G. McCollum, “Kinks and extensions,” Ph.D. thesis, Yeshiva University, Dissertation No. 75–20,585, Xerox University Microfilms, Ann Arbor, Michigan, 1975.
6.
J. G.
Williams
and
R. K. P.
Zia
,
J. Phys. A
6
,
1
(
1973
);
G.
Clement
,
Gen. Relativ. Gravit.
16
,
131
,
477
(
1984
);
K. A.
Dunn
,
Gen. Relativ. Gravit.
22
,
507
(
1990
); ,
Gen. Relativ. Gravit.
K. A.
Dunn
,
T. A.
Harriott
, and
J. G.
Williams
,
Phys. Lett. A
163
,
152
(
1992
);
J. G.
Williams
and
P.
Zvengrowski
,
J. Math. Phys.
33
,
256
(
1992
).
7.
T. A.
Harriott
and
J. G.
Williams
,
J. Math. Phys.
29
,
179
(
1988
).
8.
K. A.
Dunn
and
J. G.
Williams
,
J. Math. Phys.
30
,
87
(
1989
).
9.
K. A.
Dunn
,
T. A.
Harriott
, and
J. G.
Williams
,
J. Math. Phys.
33
,
1437
(
1992
).
10.
D.
Christensen
and
R. B.
Mann
,
Class. Quantum Gravit.
9
,
1769
(
1992
).
11.
D. Finkelstein, “Prehistory of the black hole,” Georgia Institute of Technology Preprint, October 1991.
12.
D. Finkelstein, “Misner, kinks, and black holes,” in Directions in General Relativity—Proceedings of the 1993 International Symposium, Volume I: Papers in honor of Charles Misner, edited by B. L. Hu, M. P. Ryan, Jr., and C. V. Vishveshwara (Cambridge University, Cambridge, 1993).
13.
J. C.
Graves
and
D. R.
Brill
,
Phys. Rev.
120
,
1507
(
1960
).
14.
G. W.
Gibbons
and
S. W.
Hawking
,
Phys. Rev. D
15
,
2738
(
1977
).
15.
C.
Kahn
and
F.
Kahn
,
Nature
257
,
451
(
1975
).
16.
S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge University, London, 1973), pp. 124–131.
17.
M. D.
Kruskal
,
Phys. Rev.
119
,
1743
(
1960
).
18.
I.
Rácz
and
R. M.
Wald
,
Class. Quantum Gravit.
9
,
2643
(
1992
).
19.
B. B.
Godfrey
,
J. Math. Phys.
12
,
606
(
1971
).
20.
G. W.
Gibbons
and
S. W.
Hawking
,
Phys. Rev. Lett.
69
,
1719
(
1992
).
21.
A.
Chamblin
and
R.
Penrose
,
Twistor Newsletter
34
,
13
(
1992
).
This content is only available via PDF.
You do not currently have access to this content.