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Bibliographic Details
Main Authors: Ishii, Takaaki, Murata, Keiju, Sugawara, Keita
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.23378
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Table of Contents:
  • We construct Kaluza-Klein monopole solutions with scalar hair provied by a massive complex scalar field multiplet that minimally couples to five-dimensional Einstein gravity. Writing the scalar field multiplet in terms of the Wigner D-matrices, we introduce the ansatz of the scalar multiplet compatible with the symmetries of the Gross-Perry-Sorkin monopole, on which the scalar hair grows. We give the ansatz for a multiplet with arbitrary number of components, whereas we show numerical solutions of the hairy Kaluza-Klein monopole specifically for the cases of scalar triplet and quadruplet. These generaize the preceding study on a doublet \cite{Brihaye:2023vox}. We find that the range of the mass and angular momentum of the hairy solutions are larger for higher multiplets.