Non-abelian black strings and cosmological constant
Y. Brihaye, F. Bakkali Taheri
Abstract
We study the classical solutions of the Einstein-Yang-Mills model in five dimensions in the presence of a cosmological constant Λ. Using a spherically symmetric ansatz and assuming that the fields do not depend on the extra dimension, we transform the equations into a set of differential equations that we solve numerically. We construct new types of regular (resp. black holes) solutions which, close to the origin (resp. the event horizon) resemble the 4-dimensional gravitating monopole (resp. non abelian black hole) and study their global properties.
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