Abstract

In the framework of the Einstein–Maxwell-aether-axion theory, we consider a self-consistent model based on the concept of two-level control, which is carried out by the dynamic aether over the behavior of an axionically active electrodynamic system. The Lagrangian of this model contains two guiding functions, which depend on four differential invariants of the aether velocity: the scalar of expansion of the aether flow, the square of the acceleration four-vector, the squares of the shear and vorticity tensors. The guiding function of the first type is an element of the effective aetheric metric; this effective metric is involved in the formulation of kinetic terms for the vector, pseudoscalar and electromagnetic fields and predetermines features of their evolution. The guiding function of the second type is associated with the distribution of axions and describes its vacuum average value; basically, this function appears in the potential of the axion field and predetermines the position and depth of its minima. The self-consistent set of coupled master equations of the model is derived. An example of a static spherically symmetric system is considered as an application.

中文翻译：

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扩展的爱因斯坦-麦克斯韦-以太-轴子理论：作为对轴子动力学的以太控制工具的有效度量

摘要

在爱因斯坦-麦克斯韦以太轴子理论的框架中，我们考虑基于两能级控制概念的自洽模型，该模型是由动态以太对轴子活性电动力系统的行为进行的。该模型的拉格朗日包含两个引导函数，它们取决于以太速度的四个微分不变量：以太流的膨胀标量、加速度四矢量的平方、剪切和涡量张量的平方。第一类引导函数是有效以太度量的一个要素；这个有效的度量涉及矢量、赝标量和电磁场的动力学项的公式化，并预先确定它们的演化特征。第二类导向函数与轴子的分布有关，描述其真空平均值；基本上，该函数出现在轴子场的势中并预先确定其最小值的位置和深度。推导出模型的自洽耦合主方程组。静态球对称系统的一个例子被视为一个应用。