We analyze the dynamics of scalar particles in gravity's rainbow considering the space-time of a cosmic string in this modified gravity. Thus, we solve the Klein-Gordon equation for two types of potential in which two possible rainbow functions are selected. In all cases studied we obtain exact solutions for the wave equation, derive the energy spectrum, analyze it in detail and discuss the dependence of the results with the choice of the rainbow functions.

中文翻译：

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引力彩虹背景下宇宙弦时空标量粒子的量子动力学

考虑到宇宙弦在这种修正引力中的时空，我们分析了引力彩虹中标量粒子的动力学。因此，我们针对两种类型的势求解 Klein-Gordon 方程，其中选择了两种可能的彩虹函数。在所有研究的案例中，我们都获得了波动方程的精确解，导出了能谱，对其进行了详细分析，并讨论了结果与彩虹函数选择的相关性。