Deformed vortices in(4+1)-dimensional Einstein-Yang-Mills theory

Abstract

We study vortex-type solutions in a (4+1)-dimensional Einstein-Yang-Mills-SU(2) model. Assuming all fields to be independent on the extra coordinate, these solutions correspond in a four dimensional picture to axially symmetric multimonopoles, respectively monopole-antimonopole solutions. By boosting the five dimensional purely magnetic solutions we find new configurations which in four dimensions represent rotating regular nonabelian solutions with an additional electric charge.

Deformed black strings in five-dimensional Einstein–Yang–Mills theory

“…Typically, several distinct curves ("branches") appear in an energy-α-plot, such that for a fixed value of α different solutions (with different energies) exist. In [26] The regular n = 2 case was studied in [22] and only one branch of solutions in α has been constructed. Corresponding to the n = 1 case we believe, though, that further branches also exist for n = 2, the numerical construction of which however seems very involved.…”

“…Due to the fact that we will choose the components of A y and A ϕ to point in the same direction of the internal space, off-diagonal components of the energy-momentum tensor appear. We thus choose the following ansatz for the metric tensor [22]:…”

Gravitating Non-Abelian Solitons and Hairy Black Holes in Higher Dimensions

“…A further generalization is achieved 35,36 by returning back to D=5 an performing a Lorentz boost along the x 4 direction. This operation has a non-trivial effect on the 4D configurations: it produces stationary spinning solutions.…”

“…Solutions with m = 1 describe monopole-antimonopole pairs. Both regular solutions 35 and black strings 36 have been considered within this approach. In all cases the existence of several solutions for a given value of κ has been detected.…”

“…Inserting this to the action (4) gives instead of (15) [34][35][36] The 5D YM vortices/black strings, with or without twist, have been also generalized [34][35][36] to the case where, after the dimensional reduction to D=4, the fields are chosen to be static and axially symmetric, rather than spherically symmetric. The ansatz for the gauge field A a µ and H a contains in this case two integer winding numbers, n, m. If n = 1, m = 0 then the solutions are spherically symmetric monopoles.…”