发表机构
University of the Basque Country（巴斯克大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文分析轻微形变Schwarzschild黑洞的霍金温度与灰体因子，发现形变导致更冷地平线且对灰体因子的影响随频率变化，为探测偏离Schwarzschild几何提供潜在观测特征。
AI 中文摘要
我们分析了一类由三个独立形状函数描述的静态球对称黑洞的辐射性质，这类黑洞涵盖了广泛的规则几何和量子修正几何。我们考虑一个最小耦合的无质量标量场，并推导了不同几何下的霍金温度和灰体因子。虽然霍金温度由近地平线几何决定，但灰体因子取决于整个外部时空的散射性质，因此对形变参数、频率和角模式表现出更丰富的依赖关系。然后，我们具体化到描述Schwarzschild黑洞轻微形变的几何，并获得了灰体因子领先修正的解析表达式。最后，我们将结果应用于几个特定的著名黑洞模型，包括Reissner-Nordström、Bardeen、Hayward、Simpson-Visser以及受圈量子引力启发的几何。总的来说，这些形变导致比Schwarzschild更冷的地平线，并且它们对灰体因子的影响是频率依赖的：低频模式的透射被抑制，而高频模式的透射则增强。除了所考虑的几何中的一个例外（该几何表现出相反的趋势），所有几何都观察到这种行为。因此，所分析的霍金谱修正可能具有相关的观测后果，可能提供偏离Schwarzschild几何的迹象。
英文摘要
We analyze the radiative properties of a general class of static and spherically symmetric black holes described by three independent shape functions, that encompass a broad family of regular and quantum-corrected geometries. We consider a minimally coupled massless scalar field, and derive the Hawking temperature and graybody factor for the different geometries. While the Hawking temperature is determined by the near-horizon geometry, the graybody factor depends on the scattering properties of the entire exterior spacetime, and therefore exhibits a richer dependence on the deformation parameters, frequency, and angular mode. Then we particularize to geometries that describe slight deformations of the Schwarzschild black hole, and obtain analytic expressions for the leading corrections to the graybody factor. Finally, we apply our results to several specific well-known black-hole models, including Reissner-Nordström, Bardeen, Hayward, Simpson-Visser, as well as geometries inspired by loop quantum gravity. In general, the deformations lead to colder horizons than Schwarzschild, and their effect on the graybody factor is frequency-dependent: the transmission of low-frequency modes is suppressed, whereas it is enhanced for high-frequency modes. This behavior is found for all but one of the geometries considered, which exhibits just the opposite trend. The analyzed modifications to the Hawking spectrum may therefore have relevant observational consequences, potentially providing signatures of deviations from the Schwarzschild geometry.
Comments31 pages, 12 figures
