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Zero-mass limit of point-mass space-times

L. S. Abrams

  • Lockheed California Company, Burbank, California 91520

Phys. Rev. D 21, 2992 – Published 15 May, 1980

DOI: https://doi.org/10.1103/PhysRevD.21.2992

Abstract

A property which would seem to be required of any space-time claiming to represent a point mass is that the space-time tend to Minkowski's space-time as the mass tends to zero. It is shown that imposition of this requirement would enable a distinction to be made between equivalent space-times. Thus, the requirement is invalid.

References (4)

  1. D. Finkelstein, Phys. Rev. 110, 965 (1958)
  2. L. Abrams, Phys. Rev. D 20, 2474 (1979) ibid.21, 2438 (E) (1980) ibid.21, 2991 (1980)
  3. K. Schwarzschild, Sitzungsber. Preuss. Akad. Wiss., Phys. Math. KL. 189 (1916)
  4. S. Hawking and G. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, London, 1974), p. 227

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