Gravity of Global U(1) Cosmic String

Details Gravity of Global U(1) Cosmic String Gravity of Global U(1) Cosmic String

Mar 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001gregr..33..405m&link_type=ejournal

General Relativity and Gravitation, Volume 33, Issue 3, pp.405-414

Physics

3

Symmetry Break-Down, String

Scientific paper

We show that a static one-dimensional U(1) global string is confined by its own gravitational field to a finite radius. The energy-momentum tensor of a global string decreases exponentially with the distance from its core. We call it self-localization. We show that the order parameter is a decreasing function of the symmetry breaking energy scale. We have found the maximum value of the energy scale ηmax, where the order parameter vanishes. Beyond the maximum value η > ηmax the gravitational field of a global string gets so strong, that it restores the initial unbroken symmetry. In the close vicinity of the maximum value ηmax of the symmetry breaking scale we get a closed-form solution for the metric. It reduces to the Galileo metric on the axis and transforms into the Kasner-type solution near the boundary of a string.

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