发表机构
Università di Bologna; I.N.F.N., Sezione di Bologna; Federal University of ABC, Center of Mathematics（博洛尼亚大学; 意大利国家核物理研究所博洛尼部分所; ABC联邦大学数学中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究构建了含三次黎曼耦合轴子场的有效场论黑洞解，证明轴子毛发为次级电荷且反作用仅出现在次领头阶，修正的霍金温度允许蒸发后留下黑洞残余。
AI 中文摘要
本文研究了一个有效场论（EFT）中的引力理论，该理论包含一个三次黎曼不变量与类轴子场的耦合，并证明该理论不会传播额外的独立低能自由度。这种相互作用在黑洞周围产生一个曲率诱导的标量轮廓，其特征是由轴子场在视界处的正则性所固定的次级轴子电荷，而正则事件视界的要求则约束了渐近轴子背景。我们构建了相应的黑洞解，并表明轴子场的反作用在EFT展开的次领头阶才会影响度规。修正后的几何影响黑洞热力学和霍金蒸发，从而提供了一个受紫外物理启发的、具有高曲率贡献和次级轴子毛发的黑洞的可控实现。修正后的霍金温度允许在EFT的有效范围内，蒸发结束时存在黑洞残余。
英文摘要
An effective field theory (EFT) of gravity with a cubic Riemann invariant coupled to an axion-like field is investigated and shown to propagate no additional independent low-energy degrees of freedom. This interaction generates a curvature-induced scalar profile around black holes, characterised by a secondary axion charge fixed by regularity of the axion field at the horizon, while the requirement of a regular event horizon constrains the asymptotic axion background. We construct the corresponding black hole solutions and show that the backreaction of the axion field could affect the metric only at subleading order in the EFT expansion. The modified geometry impacts black hole thermodynamics and Hawking evaporation, thus providing a controlled realisation of black holes with higher-curvature contributions and secondary axion hair motivated by ultraviolet physics. The modified Hawking temperature allows for the existence of black hole remnants at the end of the evaporation within the regime of validity of the EFT.
Comments27 pages, 1 figure
