AI 中文总结
本文研究黑洞的标量DBI类似物的静态与动态微扰，计算其洛夫数与标量极化率，发现其背景几何为经典高通滤波器，证实可类似黑洞对标量黑洞类似物展开分析。
AI 中文摘要
球对称标量狄拉克-玻恩-因费尔德（DBI）理论解的微扰，遵循弯曲时空中无质量标量场的运动方程，该弯曲时空具有黑洞类特性，如有限温度、信息传播速度为零的事件视界（即黑洞类似物）。在回顾传播所用背景几何的部分性质后，我们研究静态和动态两种情形下的解：静态情形下得到所谓的洛夫数，或更一般的标量极化率；动态情形下采用与准正则模计算类似的边界条件，论证该背景几何充当经典高通滤波器。我们因此提供进一步证据，表明标量黑洞类似物可类似黑洞进行分析。
英文摘要
Perturbations around a spherically symmetric solution of the scalar Dirac-Born-Infeld (DBI) theory obey the equation of motion of a massless scalar field in a curved background with black hole-like properties like finite temperature and an event horizon with zero speed of propagation of information (a black hole analogue). After reviewing some properties of the background geometry for the propagations, we investigate the solutions considering static and dynamic regimes. In the former case we obtain the so-called Love numbers, or more generally scalar polarizability. In the latter case, we employ boundary conditions analogous to the computation of quasi-normal modes, and argue that the background geometry acts as a classical high-pass filter. We therefore provide further evidence that the scalar black hole analogues can be analyzed similarly to a black hole.
Comments22 pages, no figures
