In the present article, quantum dynamics of the photon is investigated in the cosmic string spacetime via gravity’s rainbow. We solve the mDKP (massless Duffin–Kemmer–Petiau) equation exactly and obtain the energy spectrum of photon. Then, we solve the Maxwell equations in the same gravity’s rainbow background and show that the solutions obtained are equivalent to the results of the photon equation. The energy spectrum of the photon is analyzed for three different rainbow functions.

中文翻译：

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彩虹引力中光子的量子动力学

在本文中，通过引力彩虹在宇宙弦时空中研究光子的量子动力学。我们精确求解 mDKP（无质量 Duffin-Kemmer-Petiau）方程并获得光子的能谱。然后，我们在相同的引力彩虹背景下求解麦克斯韦方程组，并证明得到的解与光子方程的结果等效。针对三种不同的彩虹函数分析了光子的能谱。