具有规则引力场、电场和轴子场的非极小双子
Nonminimal dyons with regular gravitational, electric and axion fields
摘要：
我们考虑了轴子暗物质的分布和在规则磁介质背景下轴子感生电场的分布。背景静态球对称时空被认为在物体的中心是规则的，没有事件视界，强引力场和磁型磁场的非最小相互作用是提供这种规则性的源。我们假设赝标量场与电磁场和引力场也是非极小耦合的，并且我们寻找非极小轴子静电学扩展方程的解，它满足两个条件：第一，轴诱导径向电场在中心为零;第二，赝标量场在所形成的轴子双子中心是正则的.我们已经找到了一组参数，描述非最小的轴子-光子耦合，这两个要求都得到满足。数值分析了非最小轴子静电方程的两参数正则解族的性质。规则轴感生电场的结构，这是典型的一个简单的电层。
英文摘要：
We consider the distribution of the axionic dark matter and the profiles of the axionically induced electric field on the background of a regular magnetic monopole. The background static spherically symmetric spacetime is considered to be regular at the center of the object and has no event horizons, the nonminimal interaction of strong gravitational and monopole type magnetic fields being the source, which provides this regularity. We assume that the pseudoscalar (axion) field also is nonminimally coupled to the electromagnetic and gravitational fields, and we search for solutions to the extended equations of nonminimal axion electrostatics, which satisfy two requirements: first, the axionically induced radial electric field vanishes at the center; second, the pseudoscalar field is regular at the center of the formed axionic dyon. We have found the set of parameters, describing the nonminimal axion-photon coupling, for which both requirements are satisfied. Properties of the two-parameter family of regular solutions to the equations of nonminimal axion electrostatics are analyzed numerically. The regular axionically induced electric field is shown to have the structure, which is typical for a simple electric layer.
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