高曲率标量-张量引力中的精确有毛黑洞
Exact Hairy Black Holes in Higher-Curvature Scalar--Tensor Gravity
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中文总结 AI 辅助
本文在Lovelock--Horndeski引力中构造精确有毛黑洞，建立视界拓扑、标量毛与协变荷的关系，发现五维平面族与双曲解，并阐明荷平衡机制。
中文摘要 AI 辅助
我们在Lovelock--Horndeski引力中构造了精确的有毛黑洞，并建立了视界拓扑、标量毛与协变荷之间的关系。该框架源于高曲率引力的维度约化，将标量-张量动力学与heterotic弦的低能描述联系起来。在五维中，一个固定的理论允许一个连续的平面族和两个孤立的双曲黑洞。双曲解共享一个局部AdS度规，但具有不同的标量装饰，而平面族是Weyl弯曲的，且视界尺度可自由变化。两个分支都在未来视界上携带正则的标量毛。双曲构造可推广到四维以上；所展示的平面轮廓的相容性选择了五维和七维。标量的时间平移通过一个整体移位起作用，该移位进入完整的协变荷平衡。沿平面族，变化的体移位荷密度提供了这种平衡，尽管径向通量为零且视界荷变化消失。双曲根在固定耦合下不允许视界尺度变化。
英文摘要
We construct exact hairy black holes in Lovelock--Horndeski gravity and establish a relation between horizon topology, scalar hair and covariant charges. Rooted in the dimensional reduction of higher-curvature gravity, this framework connects scalar--tensor dynamics to the low-energy description of heterotic strings. In five dimensions, a single fixed theory admits a continuous planar family and two isolated hyperbolic black holes. The hyperbolic solutions share a locally AdS metric with distinct scalar dressings, while the planar family is Weyl curved and has a freely varying horizon scale. Both branches carry scalar hair regular on the future horizon. The hyperbolic construction extends above four dimensions; compatibility of the displayed planar profile selects five and seven dimensions. Time translations of the scalar act through a global shift, which enters the complete covariant charge balance. Along the planar family, a changing bulk shift-charge density supplies this balance despite zero radial flux and vanishing horizon charge variation. The hyperbolic roots admit no horizon-scale variation at fixed couplings.
发表机构
- University of Illinois Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）
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