Einstein–Yang–Mills-Aether Theory with Nonlinear Axion Field: Decay of Color Aether and the Axionic Dark Matter Production

Abstract

We establish a nonlinear version of the SU(N)-symmetric theory, which describes self-consistently the interaction between the gravitational, gauge, vector and pseudoscalar (axion) fields. In the context of this theory the SU(N)-symmetric multiplet of vector fields is associated with the color aether, the decay of which in the early Universe produced the canonic dynamic aether and the axionic dark matter. The SU(N)-symmetric Yang–Mills field, associated with the color aether, forms the source, which transfers the energy of the decaying color aether to the axion field. The nonlinear modification of the model uses explicitly the requirement of discrete symmetry, prescribed by the axion field, and is based on the analogy with a nonlinear physical pendulum. We show that in the framework of this nonlinear regular model, the axion field can grow to an arbitrarily large value, thus explaining the abundance of the axionic dark matter in the Universe.

Interaction of the Cosmic Dark Fluid with Dynamic Aether: Parametric Mechanism of Axion Generation in the Early Universe

“…In other words, we are interested to elaborate upon the models of spontaneous growth of axions which form the main part of the cosmic dark matter. There are two mechanisms of such spontaneous growth: the first one is associated with axion production due to the decay of gauge fields (see, e.g., [43]); the second (the most known) mechanism is connected with the instability of the axion system. In this work, we consider models of the second type and assume that the origin of the axion instability is connected with the rate of the Universe evolution.…”

“…Following the idea of modeling of the so-called kernel of interaction Q (see, e.g., [31,32]), we can rewrite (43) as a pair of equations…”

Dynamic Aether as a Trigger for Spontaneous Spinorization in Early Universe

“…The model of self-similar interaction includes additional parameters ξ (78) and h 0 . It turned out that the parameter h 0 predetermines the maximal value of the effective spinor mass < M > (21). In addition, we introduced phenomenologically two time moments t * and t * * , which restrict the interval inside of which the dynamic aether "allows" the spinor field to switch on the self-similar interaction; we consider the corresponding values of the expansion scalar Θ * ≡ Θ(t * ) and Θ * * ≡ Θ(t * * ) as the analogs of the first and second Curie temperatures in ferroelectrics.…”

“…The phenomenological idea about spontaneous scalarization has been used in different astrophysical and cosmological contexts (see, e.g., [2][3][4][5][6][7][8][9][10][11][12][13]). This fruitful idea has been extended and applied to models in other fields, and now we can find works devoted to the problems of spontaneous vectorization (see, e.g., [14][15][16]), spontaneous tensorization [17], spontaneous spinorization [18,19], as well as to the problems of spontaneous polarization of the color aether [20,21] and of spontaneous growth of the gauge fields [22].…”