Title: Quasinormal modes of black holes embedded in halos of matter Show Chinese title

Title: 嵌入物质晕中的黑洞的准正模

Abstract: We investigate the (axial) quasinormal modes of black holes embedded in generic matter profiles. Our results reveal that the axial QNMs experience a redshift when the black hole is surrounded by various matter environments, proportional to the compactness of the matter halo. Our calculations demonstrate that for static black holes embedded in galactic matter distributions, there exists a universal relation between the matter environment and the redshifted vacuum quasinormal modes. In particular, for dilute environments the leading order effect is a redshift $1+U$ of frequencies and damping times, with $U \sim -{\cal C}$ the Newtonian potential of the environment at its center, which scales with its compactness ${\cal C}$. Show Chinese abstract

Abstract: 我们研究了嵌入通用物质分布中的黑洞的（轴向）准正规模式。 我们的结果显示，当黑洞被各种物质环境包围时，轴向准正规模式的频率会发生红移，且该红移与物质晕的致密性成正比。 我们的计算表明，对于嵌入星系物质分布中的静态黑洞，物质环境和红移的真空准正规模式之间存在一个普适关系。 特别是，在稀疏环境中，主导效应是对频率和阻尼时间的红移 $1+U$，其中 $U \sim -{\cal C}$ 是环境中心的牛顿势，它随环境的致密性 ${\cal C}$ 而变化。