一般超重力背景下黑洞的强迫流体动力学
Forced Fluid Dynamics from Blackfolds in General Supergravity Backgrounds
摘要：
本文给出了任意背景下（超）引力理论的带电双光子$p$ -膜解的集体模的首阶动力学的一般处理。为此，我们采用的一般策略的黑褶方法，这是基于长波长的衍生物扩展周围的精确或近似的解决方案的（超）重力运动方程。由此产生的集体模式方程制定为强制流体动力学方程的动态嵌入超曲面。我们得出他们在充分的一般性（包括所有可能的渐近通量和磁共振轮廓）在远区分析的（超）重力方程和代表性的例子在近区分析。一个独立的处理的基础上的外部耦合的研究，在静水配分函数。特别强调的是强制集体模式方程中出现的IIA/B型和11维超引力，除了标准的洛伦兹力耦合，我们的分析揭示了额外的耦合的背景，包括陈-西蒙斯相互作用产生的条款。我们还提出了一个总体概述的黑折页的方法和一些关键的概念问题时出现的任意背景。
英文摘要：
We present a general treatment of the leading order dynamics of the collective modes of charged dilatonic $p$-brane solutions of (super)gravity theories in arbitrary backgrounds. To this end we employ the general strategy of the blackfold approach which is based on a long-wavelength derivative expansion around an exact or approximate solution of the (super)gravity equations of motion. The resulting collective mode equations are formulated as forced hydrodynamic equations on dynamically embedded hypersurfaces. We derive them in full generality (including all possible asymptotic fluxes and dilaton profiles) in a far-zone analysis of the (super)gravity equations and in representative examples in a near-zone analysis. An independent treatment based on the study of external couplings in hydrostatic partition functions is also presented. Special emphasis is given to the forced collective mode equations that arise in type IIA/B and eleven-dimensional supergravities, where besides the standard Lorentz force couplings our analysis reveals additional couplings to the background, including terms that arise from Chern-Simons interactions. We also present a general overview of the blackfold approach and some of the key conceptual issues that arise when applied to arbitrary backgrounds.
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