Gravitational effects of line sources and the zero-width limit

Details Gravitational effects of line sources and the zero-width limit Gravitational effects of line sources and the zero-width limit

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phlb..251..498h&link_type=abstract

Physics Letters B, Volume 251, Issue 4, p. 498-502.

Physics

10

Scientific paper

We calculate the splitting of gravitationally lensed images in the general static cylindrically symmetric vacuum spacetime, as would be found, for example, around a straight cosmic string with unresolved small-amplitude waves. We also use the results to examine the zero-width limit for the source. We find that beyond the weak field approximation this limit cannot be taken unless the exterior metric is conical. In this case we find the relation between the angle deficit of the cone and integrals of the energy-momentum tensor of the source.

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