In this work, we consider that in energy scales near to the Planck energy, the geometry, mass, speed of light, the Newtonian constant of gravitation and matter fields will depend on the energy. This type of theory is known as Rainbow Gravity. We coupled the nonlinear electrodynamics to the Rainbow Gravity, defining a new mass function $M(r,ϵ)$, such that we may formulate new classes of spherically symmetric regular black hole solutions, where the curvature invariants are well-behaved in all spacetime. The main differences between the General Relativity and our results in the Rainbow gravity are: a) The intensity of the electric field is inversely proportional to the energy scale. The higher the energy scale, the lower the electric field intensity; b) the region where the strong energy condition (SEC) is violated decreases as the energy scale increases.

在这项工作中，我们认为在接近普朗克能量的能量尺度中，几何形状，质量，光速，牛顿引力常数和物质场将取决于能量。这种理论被称为彩虹引力。我们将非线性电动力学与Rainbow引力耦合，定义了一个新的质量函数$\mathrm{中号}（\mathrm{[R}，ϵ）$，这样我们就可以制定新的球对称规则黑洞解决方案类别，其中在所有时空中曲率不变性都表现良好。广义相对论与我们在Rainbow引力上的结果之间的主要区别是：a）电场强度与能级成反比。能级越高，电场强度越低；b）违反强能状态（SEC）的区域随着能级的增大而减小。