What is the relation between Δφ and μ for a cosmic string\?

Details What is the relation between Δφ and μ for a cosmic string\? What is the relation between Δφ and μ for a cosmic string\?

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.2086f&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 8, 15 April 1988, pp.2086-2091

Physics

22

Particle-Theory And Field-Theory Models Of The Early Universe, Fundamental Problems And General Formalism

Scientific paper

We examine the relation between the deficit angle Δφ and the mass per unit length μ of a cosmic string. In the weak-field approximation Δφ=8πμ. In general we define a correction term δ by δ≡(Δφ/8πμ)-1. We show that δ depends on the gravitational strength of the string, but is independent of the thickness of the string. Taking the zero-thickness limit we obtain an infinitely thin string for which Δφ≠8πμ. The implications of this result for the treatment of strings as singular line sources in general relativity is discussed.

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