Abstract
Topology change is discussed as a barrier penetration process and illustrated by explicit calculations in Witten's Kaluza-Klein bubble geometry. Initial values are given for other bubble geometries, including ones with negative total mass.
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References
J. A. Wheeler,Geometrodynamics (Academic Press, New York, 1962).
R. Geroch,J. Math. Phys. 8, 782 (1967).
G. M. Patton and J. A. Wheeler, “Is Physics Legislated by Cosmogeny?” inQuantum Gravity, An Oxford Symposium, C. J. Isham, R. Penrose, and D. W. Sciama, eds. (Clarendon Press, Oxford, 1975).
S. Hawking, “The path-integral approach to quantum gravity,” inGeneral Relativity: An Einstein Centenary Survey, S. Hawking and W. Israel, eds. (Cambridge University Press, Cambridge, 1979).
D. Brill and S. Deser,Ann. Phys. 50, 548 (1968); R. Schoen and S. Yau,Comm. Math. Phys. 65, 47 (1979);79, 47 (1981);79, 231 (1981); E. Witten,Comm. Math. Phys. 80, 381 (1981).
E. Witten,Nucl. Phys. B 195, 481 (1982).
U. Gerlach,Phys. Rev. 177, 1929 (1969).
D. McLaughlin,J. Math. Phys. 13, 1099 (1972).
S. Coleman,Phys. Rev. D 15, 2929 (1977); C. Callan and S. Coleman,Phys. Rev. D 16, 1762 (1977).
C. W. Misner and J. A. Wheeler,Ann. Phys. 2, 525 (1957); D. Brill,Ann. Phys. 7, 466 (1959); C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (Freeman, San Francisco, 1973), Chap. 21.
D. Brill and F. Flaherty,Commun. Math. Phys. 50, 157 (1976), Theorem 4.2; D. Brill and F. Flaherty,Ann. Inst. H. Poincaré 28, 335 (1978).
A. Vilenkin,Phys. Rev. D 27, 2848 (1983).
J. A. Wheeler, inBatelle Recontres 1967 Lectures in Mathematics and Physics (W. Benjamin, New York, 1968), pp. 242–307; G. M. Patton and J. A. Wheeler, inQuantum Gravity, C. W. Isham, R. Penrose, and D. Sciama, eds. (Oxford, University Press, Oxford, 1975).
C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (Freeman, San Francisco, 1973), Chap. 43.
J. York, “The initial value problem and dynamics,” inGravitation Rediation, N. Deruelle and T. Piran, eds. (North-Holland, Amsterdam, 1983).
M. Cantor and D. Brill,Compos. Math. 43, 317 (1981).
A. Chodos and S. Detweiler,Gen. Relativ. Gravit. 14, 885 (1982).
P. Freund and M. Rubin,Phys. Lett. B. 79, 233 (1980).
R. Young,Phys. Lett. B 142, 149 (1984).
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Work supported in part by the National Science Foundation, under grant No. PHY82-05659, and by the Humboldt Foundation.
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Brill, D.R. Barrier penetration and initial values in Kaluza-Klein theories. Found Phys 16, 637–649 (1986). https://doi.org/10.1007/BF01889626
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DOI: https://doi.org/10.1007/BF01889626