Abstract In the context of the dRGT massive gravity coupled with nonlinear electrodynamics, we present new dRGT black hole solutions. Together with the thermodynamical properties of the solutions, we study the greybody factor of the corresponding black hole solution. To this end, we compute the rigorous bound on the greybody factor for the obtained dRGT black holes. The obtained results are graphically represented for different values of the theory’s physical parameters. Our analysis shows that the charged dRGT black holes of nonlinear electrodynamics evaporate quicker than the charged dRGT black holes originated from linear electrodynamics.

中文翻译：

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dRGT 大质量引力中黑洞的灰体因子与非线性电动力学耦合

摘要 在 dRGT 大质量引力与非线性电动力学耦合的背景下，我们提出了新的 dRGT 黑洞解决方案。结合解的热力学性质，我们研究了相应黑洞解的灰体因子。为此，我们计算了获得的 dRGT 黑洞的灰体因子的严格界限。对于理论物理参数的不同值，获得的结果用图形表示。我们的分析表明，非线性电动力学的带电 dRGT 黑洞比线性电动力学的带电 dRGT 黑洞蒸发得更快。