The exact metric about global cosmic strings

Physics

Scientific paper

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Scientific paper

We present the exact solution to Einstein's equations for the metric about a straight, infinite cosmic string resulting from the breakdown of a global symmetry. Our solution is general enough to account for the effects of matter and currents trapped on the string. The metric exhibits a singularity at finite distance from the core. We examine geodesics and find that for a vortex scale F <~ 6.3 × 1016 GeV the deflection of light is small, agreeing with the linearized result; however for 6.3 × 1016 GeV <~ F <~ 2 × 1017 GeV we find deflection angles greater than 2π. For F >~ 2 × 1017 GeV the singularity is too close for comfort.

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