Contribution of gravitational self-interaction to Δφ and μ for a cosmic string

Physics

Scientific paper

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Relativity And Gravitation

Scientific paper

We consider the contribution of gravitational self-interaction to the mass per unit length μ and the deficit angle Δφ of a long, static, straight cosmic string. The equations describing the structure and gravitational field of the string are expanded in powers of the gravitational strength of the string. To lowest order these equations yield the usual results for the Nielsen-Olesen string including Vilenkin's formula Δφ=8πμ. In the next order a numerical treatment of the equations gives the gravitational corrections to Δφ and μ.

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