Abstract
We present new spherically symmetric solutions of an SU(2) Einstein–Yang–Mills model coupled to a doublet of scalar fields. Sequences of asymptotically flat, Yang–Mills boson star-type configurations are constructed numerically by considering an appropriate time-dependent ansatz for the complex scalar field and a static, purely magnetic SU(2) Yang–Mills potential. Both nodeless as well as solutions with nodes of the scalar field and gauge potential are considered. We find that these solutions share many features with the “pure” boson stars.
Highlights
There is still no direct evidence for the existence of scalar fields, there are many theoretical reasons that these fields might play an important role in the evolution and the structure of the Universe
Boson stars in the presence of a dilaton or an axidilaton have been studied by various authors [7], as well as boson-fermion stars [8]
We extend the analysis of [16] to include a complex doublet of scalar fields coupled to an SU(2) non-abelian gauge field 1
Summary
There is still no direct evidence for the existence of scalar fields, there are many theoretical reasons that these fields might play an important role in the evolution and the structure of the Universe. Boson stars in the presence of a dilaton or an axidilaton have been studied by various authors [7], as well as boson-fermion stars [8] All these models have demonstrated the same characteristic: new interactions tend to increase the critical values of mass and particle number, the particular values are very model dependent. The BM configurations are recovered in the limit of vanishing scalar field [22] We present both numerical and analytical arguments for the existence of a new type of solution of the coupled EYM-scalar field equations, which combines the basic properties of both BS and BM models.
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