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打破退化:围绕旋转Hayward黑洞的吸积盘的光谱硬化

Breaking the Degeneracy: Spectral Hardening of Accretion Disks around Rotating Hayward Black Holes in Dark Matter Halos

Sandip Dutta

arXiv 2607.14164首次发表:更新:

AI 中文总结

研究通过分析旋转Hayward黑洞周围的吸积盘,发现其光谱特性在极端 Wien 尾部可区分非奇异黑洞与经典暗物质环境。

AI 中文摘要

我们研究了围绕旋转、规则Hayward黑洞的薄吸积盘的热力学和可观测特征,这些黑洞嵌套在宏观暗物质(DM)环境中。时空被严格建模为三个区域的复合体:一个内层Hayward核心,通过de~Sitter极限进行正则化,一个中间DM壳层被建模为由指数球密度分布支配的压力无尘包层,以及一个渐近平坦的外真空。通过匹配这些区域的质最分布,我们计算了内最稳定圆轨道(ISCO)、辐射效率、局部热通量和多色黑体光谱辐射率的显式修改。对四种不同配置(Kerr真空、Hayward真空、Kerr+DM和Hayward+DM)的系统比较揭示了ISCO的严格层级压缩。我们证明,量子启发的核心正则性和宏观DM晕对辐射效率有加性增强作用,对于高自转黑洞(j=0.8)可达约14.4%。然而,这种加性行为在低到中等频率下引入了纯粹几何(Hayward真空)和纯粹天体物理(Kerr+DM)配置之间的深刻宏观退化。我们证明只有在多波长光谱的极端 Wien 尾部,这种退化才被结构打破,为未来高频光谱偏振度提供关键诊断足迹,以区分非奇异黑洞与经典暗物质环境。

英文摘要

We investigate the thermodynamic and observable signatures of thin accretion disks surrounding rotating, regular Hayward black holes embedded within a macroscopic dark matter (DM) envelope. The spacetime is rigorously modelled as a three-region composite: an inner Hayward core regularised by a de~Sitter limit, an intermediate DM shell modelled as a pressureless dust envelope governed by an exponential sphere density profile, and an asymptotically flat outer vacuum. By matching these regions via the mass profile, we compute the explicit modifications to the Innermost Stable Circular Orbit (ISCO), radiative efficiency, local thermal flux, and multi-colour blackbody spectral luminosity. A systematic comparison across four distinct configurations (Kerr vacuum, Hayward vacuum, Kerr\,+\,DM, and Hayward\,+\,DM) reveals a strict hierarchical compression of the ISCO. We demonstrate that the quantum-inspired core regularity and the macroscopic DM halo exert an additive enhancement on the radiative efficiency, reaching $\sim 14.4\%$ for highly spinning black holes ($j=0.8$). However, this additive behaviour introduces a profound macroscopic degeneracy between purely geometric (Hayward vacuum) and purely astrophysical (Kerr\,+\,DM) configurations at low-to-intermediate frequencies. We establish that this degeneracy is structurally broken only in the extreme Wien tail of the multi-wavelength spectrum, providing a critical diagnostic footprint for future high-frequency spectropolarimetry to distinguish non-singular black holes from classical dark matter environments.

Comments18 pages, 12 figures

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