Abstract
The problem of two Schwarzschild black holes, one much smaller than the other, is investigated by an approximate analytic method. The critical separation between the black holes at which their event horizons join is found for two cases, (a) time-symmetric initial data, and (b) the small black hole falls from rest at infinity.
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References
Bishop, N. T. (1984).Gen. Rel. Grav.,16, 589.
D'Eath, P. D. (1975).Phys. Rev. D,11, 1387.
D'Eath, P. D. (1978).Phys. Rev. D,18, 990.
Kates, R. E. (1980).Phys. Rev. D,22, 1853.
Kates, R. E. (1981).Ann. Phys.,132, 1.
Manasse, F. K. (1963).J. Math. Phys.,4, 746.
Manasse, F. K., and Misner, C. W. (1963).J. Math. Phys.,4, 735.
Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge), p. 320.
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Bishop, N.T. The event horizons of two Schwarzschild black holes. Gen Relat Gravit 20, 573–581 (1988). https://doi.org/10.1007/BF00758912
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DOI: https://doi.org/10.1007/BF00758912