Abstract
A common reaction to the Penrose-Hawking singularity theorems is that Einstein's general theory of relativity contains the seeds of its own destruction. This attitude is critically examined. A more tolerant attitude toward spacetime singularities is recommended.
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References
C. W. Misner,Phys. Rev. 186, 1328 (1969).
E. M. Lifshitz, and I. M. Khalatnikov,Adv. Phys. 12, 185 (1963).
I. M. Khalatnikov, E. M. Lifshitz,Phys. Rev. Lett. 24, 76 (1970).
S. W. Hawking, and R. Penrose,Proc. R. Soc. London A 314, 529 (1970).
P. Bergmann,Some Strangeness in the Proportion, H. Woolff, ed. (Addison-Wesley, Reading, Massachusetts, 1980), p. 156.
R. Branderberger, V. Mukhanov, and A. SornborgernPhys. Rev. D 48, 1629 (1993).
J. W. Moffat, inGravitation: A Banff Summer Institute, R. Mann and P. Wesson, eds. (World Scientific, Singapore, 1991), pp. 523–597.
L. Parker, and S. A. Fulling,Phys. Rev. D 7, 2357 (1973).
P. C. W. Davies,Phys. Lett. B 68, 402 (1977).
J. S. Bell, and M. Nauenberg, inPreludes in Theoretical Physics, A. De Shalit, ed. (North-Holland, Amsterdam, 1966), pp. 279–286.
D. Albert,Quantum Mechanics and Experience (Harvard University Press, Cambridge, 1992).
G. C. Ghirardi, A. Rimini, and T. Weber,Phys. Rev. D 34, 470 (1986).
R. P. Geroch, C. Liang, and R. M. Wald,J. Math. Phys. 23, 432 (1982).
J. Earman,Bangs, Crunches, Whimper, and Shrieks: Singularities and Acausalities in Relativistic Spacetimes (Oxford University Press, Oxford, 1995).
A. Einstein,König. Preuss. Akad. Wissen. (Berlin). Sitz., 270 (1918).
R. P. Geroch,Ann. Phys. 48, 526 (1968).
S. W. Hawking, and G. F. R. Ellis,The Large-Scale Structure of Space-Time (Cambridge University Press, Cambridge, 1973).
C. W. Misner,J. Math. Phys. 4, 924 (1963).
S. M. Scott, and P. Szekeres,J. Geom. Phys. 13, 223 (1994).
R. Penrose,Ann. N.Y. Acad. Sci. 224, 125 (1973).
C. J. S. Clarke, inThe Renaissance of General Relativity and Cosmology, G. Ellis, A. Lanza, and J. Miller, eds. (Cambridge University Press, Cambridge), pp. 86–99.
K. Thorne, inHigh-Energy Astrophysics, C. DeWitt, E. Schatzman, and P. Véron, eds. (Gordon & Breach, New York, 1967), Vol. 3, pp. 259–441.
M. Rowan-Robinson,Phys. World 7, 23 (Nov. 1994).
S. W. Hawking,Proc. R. Soc. London A 294, 511 (1966).
V. Moncief, inLecture Notes in Physics, Vol. 202 (Springer, 1984), pp. 185–196.
N. J. Cornish, and J. W. Moffat,J. Math. Phys. 35, 6628 (1994).
S. W. Hawking,Commun. Math. Phys. 43, 199 (1975).
S. W. Hawking,Phys. Rev. D 14, 2460 (1976).
S. W. Hawking,Commun. Math. Phys. 87, 395 (1982).
T. Banks, and M. O'Laughlin,Phys. Rev. D 47, 4476 (1993).
C. R. Stephens, G. t'Hooft, and B. F. Whiting,Class Quotum Gravit. 11, 621 (1994).
G. T. Horowitz, and D. Marolf, “Quantum Probes of Spacetime Singularities,” UCSBTH-95-5, preprint.
C. J. S. Clarke,Commun. Math. Phys. 41, 65 (1975).
F. Mellor, and I. Moss,Class. Quantum Gravit. 9, L43 (1992).
D. Marković, and E. Poisson,Phys. Rev. Lett. 74, 1280 (1995).
S. W. Hawking,Phys. Rev. D 46, 603 (1992).
J. Earman,Erkenntnis 42, 125 (1995).
K. Thorne, inGeneral Relativity and Gravitation 1992, R. J. Gleiser, C. N. Kozameh, and O. M. Moreschi, eds. (Institute of Physics, New York, 1993).
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Earman, J. Tolerance for spacetime singularities. Found Phys 26, 623–640 (1996). https://doi.org/10.1007/BF02058236
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DOI: https://doi.org/10.1007/BF02058236