Phys. Rev. D 69, 124035 (2004) [7 pages]Harmonic map analysis of SU(N) gravitating SkyrmionsReceived 19 November 2003; revised 24 December 2003; published 30 June 2004 In this paper the SU(N) Einstein-Skyrme system is considered. We express the chiral field [which is not a simple embedding of the SU(2) field] in terms of harmonic maps. In this way, SU(N) spherical symmetric equations can be obtained easily for any N and the gravitating Skyrmion solutions of these equations can be studied. In particular, the SU(3) case is considered in detail and three different types of gravitating Skyrmions with topological charge four, two, and zero, respectively, are constructed numerically. Note that the configuration with zero topological charge corresponds to mixtures of Skyrmions and anti-Skyrmions. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.124035
DOI:
10.1103/PhysRevD.69.124035
PACS:
04.40.Nr, 04.20.Jb, 12.39.Dc
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