On rotational excitations and axial deformations of BPS monopoles and Julia-Zee dyons

Abstract

It is shown that Julia-Zee dyons do not admit slowly rotating excitations. This is achieved by investigating the complete set of stationary excitations which can give rise to non-vanishing angular momentum. The relevant zero modes are parametrized in a gauge invariant way and analyzed by means of a harmonic decomposition. Since general arguments show that the solutions to the linearized Bogomol'nyi equations cannot contribute to the angular momentum, the relevant modes are governed by a set of electric and a set of non self-dual magnetic perturbation equations. The absence of axial dipole deformations is also established.

22 pages, Revtex, no figures

References in corpus (3)

• Rotating solitons and non-rotating, non-static black holes
• Slowly Rotating Non-Abelian Black Holes
• Stationary perturbations and infinitesimal rotations of static Einstein-Yang-Mills configurations with bosonic matter

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