发表机构
Osaka Institute of Technology（大阪工业大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在四维规范超引力中构造了带标量毛的Taub-NUT-AdS精确解，分析了其视界存在性、无Killing旋量及闭合类时曲线等性质，并用协变相空间方法计算了守恒质量，制定了受限第一定律。
AI 中文摘要
我们在四维${\cal N}=2$规范超引力中提出并研究了一族具有标量毛的精确Taub-NUT-AdS解。这些解仅由非平凡的标量场及其自相互作用势支撑，所有规范场均被关闭。我们确定了Killing视界存在的条件，并证明了时空至多允许一个Killing视界，且只要存在，它必然是非退化的。特别地，NUT形变可以在其静态极限无视界的分支中产生视界。我们还证明了具有非平凡标量毛的解不允许Killing旋量。与普通Taub-NUT-AdS时空一样，全局结构受到闭合类时曲线的困扰。我们使用协变相空间方法计算守恒质量，并在NUT参数固定的情况下制定了受限的第一定律。最后，我们研究了欧几里得扇区，包括一个特定于欧几里得符号的例外族，并确定了螺栓和坚果的正则条件。
英文摘要
We present and study a family of exact Taub-NUT-AdS solutions with scalar hair in four-dimensional ${\cal N}=2$ gauged supergravity. The solutions are supported solely by a nontrivial scalar field and its self-interaction potential, with all gauge fields switched off. We determine the conditions under which Killing horizons exist and demonstrate that the spacetime admits at most one Killing horizon, and whenever it exists it is necessarily nondegenerate. In particular, the NUT deformation can give rise to a horizon in a branch whose static limit is horizonless. We also establish that the solutions with nontrivial scalar hair admit no Killing spinors. As in ordinary Taub-NUT-AdS spacetime, the global structure is afflicted by closed timelike curves. We compute the conserved mass using the covariant phase space method and formulate a restricted first law with the NUT parameter held fixed. Finally, we study the Euclidean sector, including an exceptional family specific to Euclidean signature, and determine the regularity conditions for bolts and nuts.
Comments22 pages
