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arXiv 2511.22366gr-qc
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正则黑洞的引力谱与波传播:由德亨型暗物质晕支撑

Gravitational Spectra and Wave Propagation in Regular Black Holes Supported by a Dehnen Halo

University of Hradec Králové(赫拉德茨克拉洛韦大学);National Research University TIIAME(塔什干国立研究大学TIIAME);University of Tashkent for Applied Sciences(塔什干应用科学大学);Tashkent State Technical University(塔什干国立技术大学);National University of Uzbekistan(乌兹别克斯坦国立大学);Mamun University(马蒙大学);Urgench State University(urgench国立大学)

Bekir Can Lütfüoğlu, Abubakir Shermatov, Javlon Rayimbaev, Muhammad Matyoqubov, Otaboyev Sirajiddin

AI总结:

研究了由德亨型暗物质晕支撑的正则黑洞的引力谱与波传播,通过 WKB 方法计算 quasinormal 谱并验证结果,发现晕参数影响引力响应,但衰减规律与 Schwarzschild 黑洞一致。

摘要:

我们研究了最近提出的一种正则且渐近平坦的黑洞,其由德亨型暗物质晕支撑,探讨了引力扰动、 quasinormal 模式、灰体因子和吸收截面。该几何结构提供了对嵌入银河环境中的超大质量黑洞的 remarkably 简单的解析模型,其 lapse 函数为 f(r)=1-2 M r²/(r+a)³。我们使用 WKB 方法计算了轴向“上”和“下”扰动的 quasinormal 谱,并通过时域积分验证了结果。两个扇区不再等谱,偏差随晕尺度参数增大。通过标准散射边界条件和 WKB 方法提取了灰体因子和吸收截面,其行为完全一致于有效势的结构。我们的分析表明,暗物质晕的印记会改变引力响应,而所用的近似方案对于定量预测仍足够准确。在渐近晚期时间,晕的存在不影响 Price 法衰减,其与真空中的 Schwarzschild 黑洞相同。

英文摘要:

We investigate gravitational perturbations, quasinormal modes, grey-body factors, and absorption cross-sections of the recently proposed regular and asymptotically flat black hole supported by a Dehnen-type dark-matter halo. This geometry provides a remarkably simple analytic model of supermassive black holes embedded in galactic environments, having a lapse function $ f(r)=1-2 M r^{2}/(r+a)^{3}, $ [R. A. Konoplya, A. Zhidenko, 2511.03066]. The regularizing parameter $a$ is the characteristic scale of the halo. We compute the quasinormal spectrum for both axial "up" and "down" perturbations using the WKB method and verify the results through time-domain integration. The two sectors are no longer isospectral, and the deviations grow with the halo scale parameter. The grey-body factors and absorption cross-sections are extracted via standard scattering boundary conditions and the WKB approach, and their behaviour is fully consistent with the structure of the effective potentials. Altogether, our analysis demonstrates that a dark-matter halo imprint induces modifications in the gravitational response, while the employed approximation schemes remain sufficiently accurate for quantitative predictions. At asymptotically late times, the presence of the halo does not alter the Price-law decay, which remains identical to that of a Schwarzschild black hole in vacuum.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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