AI 中文总结
研究霍恩德斯基理论中静态正则黑洞，通过分析标量动能项\(X\)在不同分支情况，利用解析性得出非微扰无毛定理等，还分类边缘非解析偏差，确定标量 - 高斯 - 博内链为完备化方式，揭示相关黑洞特性。
AI 中文摘要
霍恩德斯基理论中的正则黑洞必须具有稳定的视界和正则的中心。我们研究具有与时间无关标量的静态、球对称、渐近平直构型。除特殊简并外，标量动能项\(X\)非零的视界分支通常会受到发散传播速度或鬼/梯度不稳定性的阻碍。在正则分支上，\(X\)在视界处消失，相关\(X = 0\)端点处的解析性将主导标量方程简化为有限组泰勒系数。对于非退化的平移对称理论，这给出了一个非微扰的当前无毛定理：标量是常数，度规是史瓦西度规，因此对于非零ADM质量在中心处奇异。对于非平移对称的正幂耦合，相应的排除适用于与史瓦西连续连接的微扰分支。我们还对边缘非解析偏差进行了分类：协变正则性将标量 - 高斯 - 博内链确定为唯一的边缘非解析完备化。在此完备化中的毛状黑洞避开了解析当前步骤，但在中心处仍然奇异。
英文摘要
Regular black holes in Horndeski theories must have stable horizons and regular centers. We study static, spherically symmetric, asymptotically flat configurations with a time-independent scalar. The horizon branch on which the scalar kinetic term $X$ remains nonzero is generically obstructed by divergent propagation speeds or ghost/gradient instabilities, aside from special degeneracies. On the regular branch, where $X$ vanishes at the horizon, analyticity at the relevant $X=0$ endpoints reduces the leading scalar equation to finite sets of Taylor coefficients. For nondegenerate shift-symmetric theories this gives a nonperturbative current no-hair theorem: the scalar is constant and the metric is Schwarzschild, hence centrally singular for nonzero ADM mass. For non-shift-symmetric positive-power couplings, the corresponding exclusion applies to the perturbative branch continuously connected to Schwarzschild. We also classify marginal nonanalytic departures: covariant regularity fixes the scalar-Gauss-Bonnet chain as the unique marginal nonanalytic completion. Hairy black holes in this completion evade the analytic current step but remain centrally singular.
Comments9 pages, no figures
