AI 中文总结
该研究分析被完美流体暗物质包围的带电AdS黑洞的准正则模，发现其基标量准正则模谱对一阶小/大黑洞相变敏感，且完美流体暗物质会改变热力学相结构及对应的准正则模响应。
AI 中文摘要
我们研究被完美流体暗物质（PFDM）包围的带电反德西特（AdS）黑洞的准正则模（QNMs）如何反映热力学相变。在扩展相空间中，增大正的PFDM参数会提高临界温度和压强，同时减小临界视界半径。我们采用切比雪夫伪谱法计算无质量标量扰动的基模QNMs，并分析其在临界点以下沿等压和等温过程的演化。小黑洞和大黑洞分支的QNM轨迹明显分离，且在一阶相变附近呈现截然不同的斜率，为分支变化提供了动力学特征。沿等温线，该演化源于视界半径与压强（或等效为AdS半径）的竞争效应，而非仅由视界半径单独决定。然而在临界点处，QNM频率随视界半径平滑变化，未显示二阶相变的尖锐特征。沿共存曲线，小黑洞与大黑洞QNM的间距随吉布斯自由能燕尾形的收缩而减小，并在临界点处消失。这些结果表明，PFDM会改变热力学相结构及相关的QNM响应，而基标量QNM谱对一阶小/大黑洞相变仍保持敏感性。
英文摘要
We investigate how thermodynamic phase transitions are reflected in the quasinormal modes (QNMs) of charged anti-de Sitter (AdS) black holes surrounded by perfect fluid dark matter (PFDM). In the extended phase space, increasing the positive PFDM parameter raises the critical temperature and pressure while reducing the critical horizon radius. We compute the fundamental QNMs of a massless scalar perturbation using a Chebyshev pseudospectral method and analyze their evolution along isobaric and isothermal processes below the critical point. The small and large black hole branches trace clearly separated QNM trajectories and display sharply different slopes near the first-order transition, providing a dynamical signature of the branch change. Along isotherms, this evolution results from the competing effects of the horizon radius and pressure, or equivalently the AdS radius, rather than from the horizon radius alone. At the critical point, however, the QNM frequencies vary smoothly with the horizon radius and show no sharp signature of the second-order transition. Along the coexistence curve, the separation between the small and large black hole QNMs decreases as the Gibbs free energy swallowtail shrinks and vanishes at criticality. These results show that PFDM shifts both the thermodynamic phase structure and the associated QNM response, while the fundamental scalar QNM spectrum remains sensitive to the first-order small/large black hole transition.
Comments31 pages, 11 figures, 11 tables
