Spontaneous symmetry breaking in wormholes spacetimes with matter

Abstract

When bosonic matter in the form of a complex scalar field is added to Ellis wormholes, the phenomenon of spontaneous symmetry breaking is observed. Symmetric solutions possess full reflection symmetry with respect to the radial coordinate of the two asymptotically flat spacetime regions connected by the wormhole, whereas asymmetric solutions do not possess this symmetry. Depending on the size of the throat, at bifurcation points pairs of asymmetric solutions arise from or merge with the symmetric solutions. These asymmetric solutions are energetically favoured. When the backreaction of the boson field is taken into account, this phenomenon is retained. Moreover, in a certain region of the solution space both symmetric and asymmetric solutions exhibit a transition from single throat to double throat configurations.

Wormhole solutions with a complex ghost scalar field and their instability

“…(For a general overview on the subject of boson stars, see, e.g., the reviews [1][2][3][4].) Note that one can also obtain boson star-like objects with a nontrivial spacetime topology, when an additional real ghost scalar field is included [22,23].…”

Scalar and axial quasinormal modes of massive static phantom wormholes

“…[26,[38][39][40][41][42][43][44]). Moreover, there are recent studies on new configurations involving wormholes, such as neutron star-wormhole systems [45][46][47][48][49], or boson star-wormhole systems [50][51][52][53].…”

Non-Abelian wormholes threaded by a Yang-Mills-Higgs field in the BPS limit

“…When R (η crit ) = R (η crit ) = 0, the geometry of wormhole is in a transition state because the circumferential radius forms a turning point at some value of the radial coordinate η crit , such that the double throat and the equator can simultaneously exist, this also implies that there is a transition can occur from the single throat configuration to the double throat configuration [74,75].…”