We explore a scenario of the general relativity determined by the framework of the rainbow gravity with the purpose of searching for analogues of the Aharonov–Bohm effect. By focusing on the confinement of the Dirac field and the scalar field to a hard-wall confining potential in a modified background of the cosmic string spacetime, we examine the effects of the rainbow gravity and the topology of the cosmic string spacetime. Then, we compare each spectrum of energy with the cases where the rainbow gravity is absent.

中文翻译：

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彩虹引力背景下宇宙弦时空束缚态的 Aharonov-Bohm 效应

我们探索了由彩虹引力框架决定的广义相对论场景，目的是寻找阿哈罗诺夫-玻姆效应的类似物。通过关注在宇宙弦时空的修改背景中狄拉克场和标量场对硬壁约束势的限制，我们研究了彩虹引力的影响和宇宙弦时空的拓扑结构。然后，我们将每个能量谱与不存在彩虹引力的情况进行比较。