Based on a higher energy scale, the dispersion relation might be corrected. Correspondingly, the Hamilton–Jacobi equation should also be modified. In this paper, we use the correction to study the fermion tunneling radiation for a Gibbons–Maeda–Garfinkle-Horowitz–Strominger (GMGHS) black hole, a Kerr–NUT black hole, and an Einstein–Maxwell–Dilaton–Axion (EMDA) black hole. The result shows that compared to the charged GMGHS black hole and the rotating Kerr–NUT black hole, the Hawking temperate and the entropy of the rotating charged EMDA black hole not only are related to the correction parameter [Formula: see text] and particle mass [Formula: see text] but also depend on the angle parameter [Formula: see text] of the black hole coordinates.

中文翻译：

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静止轴对称黑洞的洛伦兹不变性破坏和修正的霍金费米子隧穿辐射

基于更高的能量尺度，色散关系可能会被校正。相应地，Hamilton-Jacobi 方程也应该被修改。在本文中，我们使用校正来研究 Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) 黑洞、Kerr-NUT 黑洞和 Einstein-Maxwell-Dilaton-Axion (EMDA) 的费米子隧穿辐射黑洞。结果表明，与带电GMGHS黑洞和旋转Kerr-NUT黑洞相比，旋转带电EMDA黑洞的霍金温带和熵不仅与校正参数[公式：见正文]和粒子质量有关【公式：见正文】还取决于黑洞坐标的角度参数【公式：见正文】。