Gravitationally Bound Monopoles

Abstract

We construct monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory carrying magnetic charge n. For vanishing and small Higgs self-coupling, these multimonopole solutions are gravitationally bound. Their mass per unit charge is lower than the mass of the n = 1 monopole. For large Higgs self-coupling only a repulsive phase exists.

SU(5) monopoles and non-Abelian black holes

“…While in flat space SU(2) monopoles as well as SU (5) monopoles -as was demonstrated by us in this paper -are either repelling or non-interacting (in the BPS limit), it was shown in the SU(2) case [12] that gravity is able to overcome the repulsion for sufficiently small Higgs boson masses. We thus limit our analysis of axially symmetric SU(5) monopoles to this important point.…”

“…These latter result from the regularity of the solutions at the horizon and a suitable gauge condition [12]. In order to have asymptotically flat, finite energy solutions the bcs at infinity (r = ∞) read:…”

“…This leads to the conclusion that in flat space no bound multimonopoles are possible. However, the inclusion of gravity [12] and/or a dilaton [13] can render attraction if the Higgs boson mass is small enough.…”

Gravitating dyons with large electric charge

“…For monopoles and dyons, in the case of vanishing Higgs potential, this second branch reaches a critical value of α, where it bifurcates with the branch of extremal Reissner-Nordström black holes with the same charge(s) [7,16,17]. For monopole-antimonopole pair solutions and other composite solutions, in contrast, the second branch extends back to α = 0, where a pure Einstein-Yang-Mills solution is reached (after scaling w.r.t.…”

“…When gravity is coupled to Yang-Mills-Higgs theory, gravitating monopoles [16,17], dyons [18], monopoleantimonopole pairs [19,20,21,22], and further configurations arise [23]. These solutions depend on a dimensionless coupling constant α, which is proportional to the square root of Newton's constant and the Higgs vacuum expectation value.…”