高曲率标量-张量引力中一般维度的精确黑膜
Exact Black Branes in General Dimensions in Higher-Curvature Scalar-Tensor Gravity
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中文总结 AI 辅助
本研究在无势膨胀子耦合Lovelock-Horndeski理论中获得两个中性平面黑膜族，其Wald熵恒定，并给出几何解释及精确系数分析，确定四维分支并延拓至更高维度。
中文摘要 AI 辅助
我们在一个无势的、与膨胀子耦合的Lovelock-Horndeski理论中获得了两个中性平面黑膜族。异质紧致化将高维曲率与标量动力学联系起来，并激发了相互作用结构。在固定的标量零模下，视界半径和温度变化，而完整的稳态Wald熵保持恒定且为正。视界处的指数标量因子恰好补偿了面积增长，这为上述行为提供了直接的几何解释。精确的系数分析确定了两个四维分支及其通过闭合耦合关系向每个更高维度的延拓。线性族是共形平坦的，并在固定耦合下使AdS尺度自由；分数族是Weyl弯曲的，并固定了该尺度。共同的动力学关系也排除了它们通过一个实单标量平坦环面约化自一个度量-膨胀子母理论来实现的可能性。
英文摘要
We obtain two families of neutral planar black branes in a potential-free dilaton-coupled Lovelock--Horndeski theory. Heterotic compactification relates higher-dimensional curvature to scalar dynamics and motivates the interaction structure. At fixed scalar zero mode, the horizon radius and temperature vary while the complete stationary Wald entropy remains constant and positive. The exponential scalar factor at the horizon exactly compensates the area growth, giving this behavior a direct geometric explanation. An exact coefficient analysis determines the two four-dimensional branches and their continuation to every higher dimension through closed coupling relations. The linear family is conformally flat and leaves the AdS scale free at fixed couplings; the fractional family is Weyl curved and fixes that scale. The common kinetic relation also excludes their realization through a real one-scalar flat-torus reduction of a metric--dilaton parent.
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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