Gravitating dyons and dyonic black holes

Abstract

We study static spherically symmetric gravitating dyon solutions and dyonic black holes in Einstein-Yang-Mills-Higgs theory. The gravitating dyon solutions share many features with the gravitating monopole solutions. In particular, gravitating dyon solutions and dyonic black holes exist only up to a maximal coupling constant, and beside the fundamental dyon solutions there are excited dyon solutions.

Gravitating Yang–Mills dyon vortices in 4+1 spacetime dimensions

“…In the same approach, K(r), u(r) are d = 4 magnetic and electric SU(2)-gauge potentials, φ(r) is a dilaton while H(r) is the Higgs field. The configurations discussed in this paper extremize also the action principle (8) and can be viewed as regular solutions of the four dimensional theory. The existence of a nonvanishing Abelian electric field in d = 4 without a singular source is not a surprise, given the specific coupling of the U(1) potentials to SU (2) and Higgs fields in the action principle (8).…”

“…The configurations discussed in this paper extremize also the action principle (8) and can be viewed as regular solutions of the four dimensional theory. The existence of a nonvanishing Abelian electric field in d = 4 without a singular source is not a surprise, given the specific coupling of the U(1) potentials to SU (2) and Higgs fields in the action principle (8). A similar property has been noticed in other models with a Maxwell field interacting with some matter fields (see e.g.…”

Gravitating dyons with large electric charge

“…We finally consider the range of α where dyon solutions exist. For small electric charge it was shown before [18], that dyons exist only below a maximal value of α, e.g., α max (Q = 0) = 1.40 and α max (Q = 1) = 1.41. As the charge is increased further, α max increases as well.…”

“…Gravitating dyons have been considered before [18,22]. We here reconsider gravitating dyons and address their dependence on the electric charge Q.…”

“…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.…”