Studies about a formal analogy between the gravitational and the electromagnetic fields lead to the notion of Gravitoelectromagnetism (GEM) to describe gravitation. In fact, the GEM equations correspond to the weak-field approximation of the gravitation field. Here, a non-abelian extension of the GEM theory is considered. Using the Thermo Field Dynamics (TFD) formalism to introduce temperature effects, some interesting physical phenomena are investigated. The non-abelian GEM Stefan-Boltzmann law and the Casimir effect at zero and finite temperatures for this non-abelian field are calculated.

中文翻译：

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非阿贝尔重力电磁及其在有限温度下的应用

关于引力和电磁场之间形式形式比喻的研究导致引力电磁（GEM）的概念来描述引力。实际上，GEM方程对应于重力场的弱场近似。这里，考虑了GEM理论的非阿贝尔扩展。使用热场动力学（TFD）形式主义来引入温度效应，研究了一些有趣的物理现象。计算了该非阿贝尔场的非阿贝尔GEM Stefan-Boltzmann定律和零温度和有限温度下的卡西米尔效应。