Gravitating Multi-Skyrmions

Details Gravitating Multi-Skyrmions Gravitating Multi-Skyrmions

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2322k&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Physics

Scientific paper

Gravitating multi-Skyrmion configurations with either discrete platonic symmetry or axial symmetry are investigated numerically. We use the rational map Ansatz for the Skyrmion field and a simplified Ansatz for the metric to obtain approximate solutions of multi-Skyrmions coupled to gravity. These solutions are static and asymptotically flat. The symmetry of the solutions is imposed by the choice of the rational map. We present axially symmetric solutions with baryon number B=2,3,4, as well as the tetrahedral B=3 and cubic B=4 solutions. We show that for fixed baryon number (and given symmetry) two branches of gravitating multi-Skyrmions exist, which merge at a maximal value of the coupling parameter.

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