Strings and other distributional sources in general relativity

Details Strings and other distributional sources in general relativity Strings and other distributional sources in general relativity

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..36.1017g&link_type=abstract

Physical Review D (Particles and Fields), Volume 36, Issue 4, 15 August 1987, pp.1017-1031

Physics

182

Fundamental Problems And General Formalism

Scientific paper

This paper deals with two broad issues: the formulation of a mathematical framework for concentrated sources in general relativity and its application to strings. We isolate a class of those metrics whose curvature tensors are well defined as distributions. It is shown that shells of matter-but neither point particles nor strings-can be described by metrics in this class. This conclusion is examined in more detail for the case of strings. We estimate the errors inherent in certain determinations of the mass per unit length of a cosmic string, and in certain calculations of the gravitational radiation from such a string.

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