Charged black holes in non-linear Q-clouds with O(3) symmetry
Jeong-Pyong Hong (Center for Theoretical Physics, Department of Physics and Astronomy, Seoul National University, Seoul, Republic of Korea)
; Motoo Suzuki (Institute for Cosmic Ray Research, The University of Tokyo, Kashiwa, Japan); Masaki Yamada (Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, USA)
We construct charged soliton solutions around spherical charged black holes with no angular momentum in asymptotically flat spacetime. These solutions are non-linear generalizations of charged scalar clouds, dubbed Q-clouds, and they do not contradict the non-existence theorem for free (linear) scalar clouds around charged black holes. These solutions are the first examples of O(3) solutions for Q-clouds around a non-extremal and non-rotating BH in the Abelian gauge theory. We show that a solution exists with an infinitely short cloud in the limit of extremal black holes. We discuss the evolution of Q-cloud in a system with fixed total charge and describe how the existence of Q-clouds is related to the weak-gravity conjecture. The reason that the no-hair theorem by Mayo and Bekenstein cannot be applied to the massive scalar field is also discussed.
