Hairy wormholes and Bartnik-McKinnon solutions

Abstract

We consider Lorentzian wormholes supported by a phantom field and threaded by non-trivial Yang-Mills fields, which may be regarded as hair on the Ellis wormhole. Like the Bartnik-McKinnon solutions and their associated hairy black holes, these hairy wormholes form infinite sequences, labeled by the node number k of their gauge field function. We discuss the throat geometry of these wormholes, showing that odd-k solutions may exhibit a double-throat, and evaluate their global charges. We analyze the limiting behavior exhibited by wormhole solutions as the gravitational coupling becomes large. The even-k solutions approach smoothly the Bartnik-McKinnon solutions with k/2 nodes, while the odd-k solutions develop a singular behavior at the throat in the limit of large coupling. In the limit of large k, on the other hand, an embedded Abelian wormhole solution is approached, when the throat is large. For smaller throats the extremal Reissner-Nordström solution plays a fundamental role in the limit.

Spontaneous symmetry breaking in wormholes spacetimes with matter

“…In particular, the backreaction of the matter on the geometry can cause a drastic change of the geometry, giving rise to a transition from configurations with a single throat to configurations with a double throat and an equator in between. Such a transition is known to occur for symmetric wormholes with bosonic matter [12] and for other types of matter as well [21,22]. This paper is organized as follows: In section II we present the theoretical setting for obtaining both symmetric and asymmetric configurations of wormholes immersed in bosonic matter in D dimensions.…”

Can mixed star-plus-wormhole systems mimic black holes?

“…For the ordinary fluid, one can take in principle any form of fluid. For example, it could be ordinary matter that stars are made of, including neutron stars [12-14, 17, 19, 20], or dark matter, but it could also comprise electromagnetic fields [22,23], chiral fields [15], Yang-Mills fields [16], or complex scalar fields [18].…”

“…In that case, the wormhole will have a double throat surrounding a belly (see, e.g., Refs. [15][16][17]). …”

“…Here the prime denotes differentiation with respect to ξ from (16). Substituting these expressions into Eq.…”

“…(By the latter, as in the case of other objects of this kind, we mean a compact massive central object enclosed by a high-redshift surface.) In our previous works [12][13][14][15][16][17][18][19][20] we have already studied systems of this kind in various aspects of the problem. In particular, using the obtained equilibrium neutron-star-plus-wormhole configurations, some issues concerning possible astrophysical manifestations associated with the presence of nontrivial topology in the system have been considered.…”