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    Equations of Motion and the Structure of Singularities

    E. T. Newman and R. Posadas*

    • University of Pittsburgh, Pittsburgh, Pennsylvania 15213

    • *Both authors on temporary leave at Kings College, University of London, London, England.

    Phys. Rev. Lett. 22, 1196 – Published 2 June, 1969

    DOI: https://doi.org/10.1103/PhysRevLett.22.1196

    Abstract

    A new approach to equations of motion in general relativity is presented, in which matter is treated as singularities, of a particular kind, in the Weyl tensor. The motion of these singularities is defined in terms of their own surrounding space. The equations of motion then follow uniquely from the Einstein field equations. A concomitant result is the existence of internal structure for the singularities and equations of motion for this structure.

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