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Tolerance for spacetime singularities

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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

  1. C. W. Misner,Phys. Rev. 186, 1328 (1969).

    Google Scholar 

  2. E. M. Lifshitz, and I. M. Khalatnikov,Adv. Phys. 12, 185 (1963).

    Google Scholar 

  3. I. M. Khalatnikov, E. M. Lifshitz,Phys. Rev. Lett. 24, 76 (1970).

    Google Scholar 

  4. S. W. Hawking, and R. Penrose,Proc. R. Soc. London A 314, 529 (1970).

    Google Scholar 

  5. P. Bergmann,Some Strangeness in the Proportion, H. Woolff, ed. (Addison-Wesley, Reading, Massachusetts, 1980), p. 156.

    Google Scholar 

  6. R. Branderberger, V. Mukhanov, and A. SornborgernPhys. Rev. D 48, 1629 (1993).

    Google Scholar 

  7. J. W. Moffat, inGravitation: A Banff Summer Institute, R. Mann and P. Wesson, eds. (World Scientific, Singapore, 1991), pp. 523–597.

    Google Scholar 

  8. L. Parker, and S. A. Fulling,Phys. Rev. D 7, 2357 (1973).

    Google Scholar 

  9. P. C. W. Davies,Phys. Lett. B 68, 402 (1977).

    Google Scholar 

  10. J. S. Bell, and M. Nauenberg, inPreludes in Theoretical Physics, A. De Shalit, ed. (North-Holland, Amsterdam, 1966), pp. 279–286.

    Google Scholar 

  11. D. Albert,Quantum Mechanics and Experience (Harvard University Press, Cambridge, 1992).

    Google Scholar 

  12. G. C. Ghirardi, A. Rimini, and T. Weber,Phys. Rev. D 34, 470 (1986).

    Google Scholar 

  13. R. P. Geroch, C. Liang, and R. M. Wald,J. Math. Phys. 23, 432 (1982).

    Google Scholar 

  14. J. Earman,Bangs, Crunches, Whimper, and Shrieks: Singularities and Acausalities in Relativistic Spacetimes (Oxford University Press, Oxford, 1995).

    Google Scholar 

  15. A. Einstein,König. Preuss. Akad. Wissen. (Berlin). Sitz., 270 (1918).

  16. R. P. Geroch,Ann. Phys. 48, 526 (1968).

    Google Scholar 

  17. S. W. Hawking, and G. F. R. Ellis,The Large-Scale Structure of Space-Time (Cambridge University Press, Cambridge, 1973).

    Google Scholar 

  18. C. W. Misner,J. Math. Phys. 4, 924 (1963).

    Google Scholar 

  19. S. M. Scott, and P. Szekeres,J. Geom. Phys. 13, 223 (1994).

    Google Scholar 

  20. R. Penrose,Ann. N.Y. Acad. Sci. 224, 125 (1973).

    Google Scholar 

  21. 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.

  22. K. Thorne, inHigh-Energy Astrophysics, C. DeWitt, E. Schatzman, and P. Véron, eds. (Gordon & Breach, New York, 1967), Vol. 3, pp. 259–441.

    Google Scholar 

  23. M. Rowan-Robinson,Phys. World 7, 23 (Nov. 1994).

    Google Scholar 

  24. S. W. Hawking,Proc. R. Soc. London A 294, 511 (1966).

    Google Scholar 

  25. V. Moncief, inLecture Notes in Physics, Vol. 202 (Springer, 1984), pp. 185–196.

  26. N. J. Cornish, and J. W. Moffat,J. Math. Phys. 35, 6628 (1994).

    Google Scholar 

  27. S. W. Hawking,Commun. Math. Phys. 43, 199 (1975).

    Google Scholar 

  28. S. W. Hawking,Phys. Rev. D 14, 2460 (1976).

    Google Scholar 

  29. S. W. Hawking,Commun. Math. Phys. 87, 395 (1982).

    Google Scholar 

  30. T. Banks, and M. O'Laughlin,Phys. Rev. D 47, 4476 (1993).

    Google Scholar 

  31. C. R. Stephens, G. t'Hooft, and B. F. Whiting,Class Quotum Gravit. 11, 621 (1994).

    Google Scholar 

  32. G. T. Horowitz, and D. Marolf, “Quantum Probes of Spacetime Singularities,” UCSBTH-95-5, preprint.

  33. C. J. S. Clarke,Commun. Math. Phys. 41, 65 (1975).

    Google Scholar 

  34. F. Mellor, and I. Moss,Class. Quantum Gravit. 9, L43 (1992).

    Google Scholar 

  35. D. Marković, and E. Poisson,Phys. Rev. Lett. 74, 1280 (1995).

    Google Scholar 

  36. S. W. Hawking,Phys. Rev. D 46, 603 (1992).

    Google Scholar 

  37. J. Earman,Erkenntnis 42, 125 (1995).

    Google Scholar 

  38. K. Thorne, inGeneral Relativity and Gravitation 1992, R. J. Gleiser, C. N. Kozameh, and O. M. Moreschi, eds. (Institute of Physics, New York, 1993).

    Google Scholar 

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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

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