标题： 旋转光子流体模型中声学黑洞的无短标量毛定理 显示英文标题

标题： No-short scalar hair theorem for spinning acoustic black holes in a photon-fluid model

摘要： 最近发现，光子流体模型中的旋转黑洞可以支持声学“云”，这些是空间规则的径向本征函数由有效质量标量场的$(2+1)$维克莱因-戈登方程决定的静态密度波动。 受这一有趣观察的启发，我们使用{\it 分析的}技术来证明由声学黑洞和标量云组成的配置的无短毛定理。 特别是，证明了静止束缚态共旋声学标量云的有效长度受到一系列不等式$r_{\text{hair}}>{{1+\sqrt{5}}\over{2}}\cdot r_{\text{H}}>r_{\text{null}}$的下限限制，其中$r_{\text{H}}$和$r_{\text{null}}$分别是支撑黑洞的视界半径和表征声学旋转黑洞时空的共旋类光圆轨道半径。 显示英文摘要

摘要： It has recently been revealed that spinning black holes of the photon-fluid model can support acoustic `clouds', stationary density fluctuations whose spatially regular radial eigenfunctions are determined by the $(2+1)$-dimensional Klein-Gordon equation of an effective massive scalar field. Motivated by this intriguing observation, we use {\it analytical} techniques in order to prove a no-short hair theorem for the composed acoustic-black-hole-scalar-clouds configurations. In particular, it is proved that the effective lengths of the stationary bound-state co-rotating acoustic scalar clouds are bounded from below by the series of inequalities $r_{\text{hair}}>{{1+\sqrt{5}}\over{2}}\cdot r_{\text{H}}>r_{\text{null}}$, where $r_{\text{H}}$ and $r_{\text{null}}$ are respectively the horizon radius of the supporting black hole and the radius of the co-rotating null circular geodesic that characterizes the acoustic spinning black-hole spacetime.