发表机构
Istanbul Okan University; Yeditepe University; Boğaziçi University（伊斯坦布尔奥坎大学; 耶迪特佩大学; 博阿齐奇大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究Kerr-Taub-NUT黑洞受测试场扰动时的广义第二定律，发现费米子扰动在低于超辐射极限时可导致熵减并违反GSL，而满足NEC的玻色子扰动下GSL仍成立。
AI 中文摘要
我们评估了受玻色子和费米子测试场扰动的Kerr-Taub-NUT黑洞的面积和熵的变化。我们证明了测试场的临界频率（在该频率下面积变化为零）严格大于Kerr-Taub-NUT黑洞的超辐射极限。因此，相关范围内的玻色子场以及不表现出超辐射散射的费米子场都可以导致Kerr-Taub-NUT黑洞面积的减小。然而，对于Kerr-Taub-NUT黑洞，熵并不与面积成正比。只有频率低于超辐射极限的费米子场才能导致熵的减小。黑洞和环境同时损失熵，这确定了对于不满足零能量条件（NEC）的费米子扰动，广义第二定律（GSL）被普遍违反。对于满足NEC的玻色子扰动，我们评估了极限情况，即一个近极端黑洞被频率略高于超辐射极限的标量场扰动。我们的分析表明，当将冯·诺依曼熵赋予测试场时，黑洞熵的最小增加补偿了环境的熵损失。对于满足NEC的扰动，GSL仍然有效。
英文摘要
We evaluate the variations in the area and the entropy of Kerr-Taub-NUT black holes perturbed by bosonic and fermionic test fields. We demonstrate that the critical frequency for a test field at which the variation of the area vanishes is strictly larger than the superradiance limit for Kerr-Taub-NUT black holes. Therefore both bosonic fields in the relevant range and fermionic fields which do not exhibit superradiant scattering can induce a decrease in the area of a Kerr-Taub-NUT black hole. However, the entropy is not directly proportional to the area for Kerr-Taub-NUT black holes. Only fermionic fields with frequencies below the superradiance limit can induce an entropy decrease. The simultaneous loss of entropy by the black hole and the environment identifies a generic violation of the Generalized Second Law (GSL) for fermionic perturbations that fail to satisfy the Null Energy Condition (NEC). For bosonic perturbations that satisfy the NEC, we evaluate the limiting case, where a nearly extremal black hole is perturbed by a scalar field with frequency slightly above the superradiance limit. Our analysis reveals that the minimum increase in the black hole entropy compensates for the entropy loss of the environment, when one assigns Von Neumann entropy to the test field. The GSL remains valid for perturbations satisfying the NEC.
Journal refEur. Phys. J. Plus 2026
DOI：10.1140/epjp/s13360-026-08253-9
