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arXiv 2503.03260gr-qc
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被 Dehnen 型暗物质晕包围的 Schwarzschild 黑洞的准正规模式与拓扑特征

Quasinormal Modes and Topological Characteristics of a Schwarzschild Black Hole Surrounded by the Dehnen Type Dark Matter Halo

Farokhnaz Hosseinifar, Shahin Mamedov, Filip Studnička, Hassan Hassanabadi

AI总结:

本研究探讨了被 Dehnen 型暗物质晕包围的 Schwarzschild 黑洞的临界参数、热力学、基于 EHT 观测的阴影约束,并推导了标量与电磁扰动的准正规模式,同时利用拓扑框架分析了光子球稳定性及黑洞拓扑分类。

摘要:

在本研究中,我们探索了界定黑洞存在的临界参数,确定了促进其形成的允许范围。对黑洞进行了全面的热力学分析,进而计算出黑洞残骸。我们研究了光的轨迹,基于 Event Horizon Telescope (EHT) 对 Sgr A* 的观测,确立了参数的上限,确保黑洞的阴影位于允许区域内。此外,我们推导了标量和电磁扰动的准正规模式 (QNMs)。利用拓扑框架,我们考察了光子球的稳定性,并根据其热力学势对黑洞的拓扑进行了分类。

英文摘要:

In this work, we explore the critical parameters that delineate the existence of black holes, identifying the permissible ranges that facilitate their formation. A comprehensive thermodynamic analysis of black holes is conducted, leading to the calculation of black hole remnants. We investigate the trajectory of light, establishing an upper limit for the parameters based on Event Horizon Telescope (EHT) observations of Sgr A*, ensuring that the black hole's shadow resides within the allowed region. Furthermore, we derive the quasinormal modes (QNMs) for both scalar and electromagnetic perturbations. Utilizing a topological framework, we examine the stability of the photon sphere and classify the topology of the black hole in accordance with its thermodynamic potentials.

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