Gravitational fields of straight and circular cosmic strings: Relation between gravitational mass, angular deficit, and internal structure

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Fundamental Problems And General Formalism, Other Topics On Stellar Systems, Interstellar Medium, Galactic And Extragalactic Objects And Systems, The Universe

Scientific paper

The first part of the paper formulates general conditions (independent of a particular gauge-theoretic model) under which a cylindrical distribution of matter can be joined to a vacuum exterior with a conical geometry and exhibits the relation between angular deficit and internal structure. To bring out the relation to gravitational mass, the second part is devoted to a detailed study of solutions of the initial-value problem for circular loops of string at a moment of time symmetry.

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