Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations

Details Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cmaph.151..303s&link_type=abstract

Communications in Mathematical Physics, Volume 151, Issue 2, pp.303-325

Mathematics

Mathematical Physics

58

Scientific paper

We prove the existence of infinitely-many globally defined singularity-free solutions, to the EYM equations with SU(2) gauge group. The solutions are indexed by a coupling constant, have distinct winding numbers, and their corresponding Einstein metrics decay at infinity to the flat Minkowski metric. Each solution has a finite (ADM) mass; these masses are derived from the solutions, and are not arbitrary constants.

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