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Nonminimal dyons with regular gravitational, electric and axion fields
International Journal of Modern Physics D ( IF 2.2 ) Pub Date : 2020-07-07 , DOI: 10.1142/s0218271820500832
Alexander B. Balakin 1 , Dmitry E. Groshev 1
Affiliation  

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; it has no event horizons, the nonminimal interaction of strong gravitational and monopole type magnetic fields being the source of this regularity. We assume the pseudoscalar (axion) field to be 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.

中文翻译:

具有规则的引力场、电场和轴子场的非极小 dyons

我们考虑在规则磁单极子的背景下轴子暗物质的分布和轴子感应电场的分布。背景静态球对称时空在物体中心被认为是规则的;它没有事件视界,强引力和单极型磁场的非最小相互作用是这种规律性的来源。我们假设赝标量(轴子)场与电磁场和引力场非最小耦合,我们寻找非最小轴子静电扩展方程的解,它满足两个要求:首先,轴心感应的径向电场在中心消失; 其次,赝标量场在形成的轴子动力子的中心是规则的。我们找到了一组参数,描述了满足两个要求的非最小轴子 - 光子耦合。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。显示规则的轴子感应电场具有结构,这对于简单的电层来说是典型的。
更新日期:2020-07-07
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