Phys. Rev. D 76, 085001 (2007) [5 pages]Exact solutions of Einstein-Yang-Mills theory with higher-derivative couplingReceived 8 April 2007; published 1 October 2007 We construct an exact classical solution of an Einstein-Yang-Mills system in ten space-time dimensions whose action contains a term quartic in Yang-Mills field strength. The solution provides compactification proposed by Cremmer and Scherk; the ten-dimensional space-time with a cosmological constant is compactified to the direct product of four-dimensional Minkowski space-time and a six-dimensional sphere S6 whose radius is determined by coupling constants. We also construct a solution which compactifies the ten-dimensional space-time to AdS4×S6 when the cosmological constant is absent. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.085001
DOI:
10.1103/PhysRevD.76.085001
PACS:
11.10.Kk, 11.15.Kc, 11.25.Mj, 11.27.+d
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