AI 中文总结
本研究探究暗物质晕修正的克尔黑洞周围薄吸积盘的观测特征，发现暗物质晕使吸积盘ISCO外移、抑制辐射通量峰值，生成可与标准真空克尔黑洞区分的观测信号。
AI 中文摘要
嵌入暗物质背景的黑洞是扩展标准真空情况的重要候选模型，可表征星系中心的强引力环境以及暗物质的引力影响。本研究聚焦暗物质晕修正的克尔（Kerr）黑洞，系统探究其周围薄吸积盘的观测特征。暗物质晕采用通用双幂律密度轮廓建模，其积分质量$M_D(r)$将克尔度规的径向质量函数修正为$m(r)=M+M_D(r)$。基于该时空，分析薄吸积盘的观测特性，包括辐射通量、温度、微分光度及光谱光度随半径的变化关系，涉及黑洞自旋和暗物质晕参数的影响。此外，结合光线追踪方法，模拟不同黑洞自旋、暗物质晕参数及观测倾角下薄吸积盘的热辐射图像。暗物质晕增强了引力势，使吸积盘的最内稳定圆轨道（ISCO）向外移动，抑制了辐射通量峰值，生成更暗的图像，从而产生可与标准真空克尔黑洞区分的观测特征。
英文摘要
Black holes embedded in a dark matter background represent an important candidate model that extends the standard vacuum case, characterizing the strong gravitational environments at galactic centers and the gravitational influence of dark matter. This study focuses on dark matter halo-modified Kerr black holes and systematically investigates the observational characteristics of their surrounding thin accretion disks. The dark matter halo is modeled by a general double power-law density profile, whose integrated mass $M_D(r)$ modifies the radial mass function of Kerr metric to $m(r) = M + M_D(r)$. Based on this spacetime, we analyze the observational properties of their thin accretion disk, including the radiative flux, temperature, differential luminosity, and spectral luminosity as a function of radius, with respect to the black hole spin and dark matter halo parameters. Furthermore, by combining ray-tracing methods, we simulate the bolometric image of the thin accretion disk under different black hole spins, dark matter halo parameters, and viewing inclinations. The dark matter halo enhances the gravitational potential, shifting the innermost stable circular orbit (ISCO) of the accretion disk outward, suppressing the peak radiative flux, and producing a fainter image, thereby generating signatures that are possibly observational distinguishable from standard vacuum Kerr black holes.
Comments14 pages, 7 figures
