Gravitational field of a superconducting global string
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The Newtonian gravitational field of a superconducting global cosmic string is investigated using the weak-field approximation, and is found to receive contributions from the global string field, the condensate field, and the electromagnetic fields. For certain parameter ranges the gravitational field in the region exterior to the string may be everywhere repulsive, everywhere attractive, or repulsive in some regions and attractive in others. For a neutral superconducting global string there can exist a particular current for which the gravitational field of the superconducting global string approximately coincides with that of a Grand Unified Theory (GUT) scale Weyl string, and, as pointed out by Widom, Srivastava, and Redington, observed asymptotic galactic rotation velocities can be roughly explained without the introduction of any further dark-matter hypothesis.
PACS 11.30.QcSpontaneous symmetry breaking
PACS 11.17Theories of strings and other extended objects
PACS 98.80.CqParticle-theory models of the early universe
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- We require (ϱV/ϱR, ϱV/ϱF)|R=η,F=0=(0,0) and (ϱ2 V/ϱR 2,ϱ2 V/ϱF 2│R=η,F=0>(0,0)..Google Scholar