Abstract
An analysis is made of the singularities of Weyl gravitational fields in the spheroidal coordinates of oblate and prolate ellipsoids of revolution. Analysis of the Kretschmann scalars calculated shows them to be directional, so the singularities have a non-Schwarzschild topology. These singularities are accompanied by the appearance of “conjugate” regions, whose physical interpretation is that the active mass of the singularity changes its sign to that opposite the sign of the mass of a test particle which enters the conjugate region. These singular objects are designated as being of types PO and OP; they have images OP* and PO*, respectively, in the conjugate regions. The images of such objects, which attract matter into the conjugate region, act as explosive sources of matter and radiation in our region of space.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 33–39, September, 1970.
In conclusion the author thanks Professor I. Z. Fisher for guidance and interest.
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Slivinskii, A.P. Singularities of spheroidal metrics. Soviet Physics Journal 13, 1148–1153 (1970). https://doi.org/10.1007/BF01100543
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DOI: https://doi.org/10.1007/BF01100543