Abstract
We construct static, asymptotically flat solutions of SU(2) Einstein–Yang–Mills theory in 4+1 dimensions, subject to bi-azimuthal symmetry. Both particle-like and black hole solutions are considered for two different sets of boundary conditions in the Yang–Mills sector, corresponding to multi-solitons and soliton–antisoliton pairs. For gravitating multi-soliton solutions, we find that their mass per unit charge is lower than the mass of the corresponding unit charge, spherically symmetric soliton.
Highlights
The last years have seen an increasing interest in the solutions of Einstein equations involving more than four dimensions
A number of results in the literature clearly indicate that solutions to the Einstein equations coupled to non Abelian matter fields possess a much richer structure than in the U(1) case, most notably in that they are not restricted to black holes, but can be regular
Motivated by the recent interest in gravitating solutions in higher dimensional spacetime, we have studied static, bi-azimuthally symmetric solutions with non Abelian fields in d = 4 + 1 spacetime dimensions
Summary
The last years have seen an increasing interest in the solutions of Einstein equations involving more than four dimensions. As for solutions to the EYM system in d dimensional spacetime whose vacuum has the structure of Md−1 × S1 like the black string solutions, these are only constructed if one of the spacelike dimensions is supposed to be compact, and a Kaluza-Klein descent is performed, essentially eliminating that coordinate. Such solutions are given for d = 5 in [21]-[27]. Dilatonic generalizations of these solutions have been considered in [29], in which higher order gauge curvature terms were included in the action to enable the existence of finite mass solutions
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