AdS_5 solutions in Einstein--Yang-Mills--Chern-Simons theory

Abstract

We investigate static, spherically symmetric solutions of an Einstein-Yang-Mills-Chern-Simons system with negative cosmological constant, for an SO(6) gauge group. For a particular value of the Chern-Simons coefficient, this model can be viewed as a truncation of the five-dimensional maximal gauged supergravity and we expect that the basic properties of the solutions in the full model to persist in this truncation. Both globally regular, particle-like solutions and black holes are considered. In contrast with the Abelian case, the contribution of the Chern-Simons term is nontrivial already in the static, spherically symmetric limit. We find two types of solutions: the generic configurations whose magnetic gauge field does not vanish fast enough at infinity (although the spacetime is asymptotically AdS), whose mass function is divergent, and the special configurations, whose existence depends on the Chern--Simons term, which are endowed with finite mass. In the case of the generic configurations, we argue that the divergent mass implies a nonvanishing trace for the stress tensor of the dual d=4 theory.

21 pages, 8 figures; v3: typos corrected, minor changes; version to appear in PRD

References in corpus (9)

• Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime
• Nonabelian solutions in AdS_4 and d=11 supergravity
• Black strings in AdS_5
• Negative Horizon Mass for Rotating Black Holes
• Non-uniqueness, Counterrotation, and Negative Horizon Mass of Einstein-Maxwell-Chern-Simons Black Holes
• Non-Abelian Black Holes in D=5 Maximal Gauged Supergravity
• AdS${}_5$ rotating non-Abelian black holes
• Gravitating BPS Monopoles in all d=4p Spacetime Dimensions
• d=4+1 gravitating nonabelian solutions with bi-azimuthal symmetry

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