量子引力黑洞中完美流暗物质的准正常模式
Quasi-normal modes of quantum gravity black hole with perfectly fluid dark matter
AI总结：
本研究探讨了量子引力黑洞中完美流暗物质对准正常模式频率和黑洞阴影的影响。
摘要：
在本工作中，我们研究了在存在完美流暗物质（PFDM）的情况下，改进的重整化群（RG）修正Schwarzschild黑洞时空中的无质量标量光子的运动。考虑静态球对称度规几何中的临界轨道条件和null测地线条件，我们展示了光球半径$ r_{ph} $随PFDM参数$ ζ $的变化。由于黑洞时空中的扰动，引力波以准正常辐射的形式发射，对应于准正常模式（QNMs）。在本工作中，我们研究了RG改进Schwarzschild时空中的两种扰动类型：标量场扰动和电磁场扰动。对于两种情况，我们研究了PFDM参数对准正常模式频率和黑洞阴影的影响，后者与光球半径相关。
英文摘要：
In this work, we have studied the motion of a massless scalar photon in the renormalization group (RG) improved Schwarzschild black hole spacetime in the presence of perfectly fluid dark matter (PFDM). Considering the critical orbit conditions and the null geodesics condition in static spherically sym- In metric geometry, we have shown the variation of the radius of the photon sphere $r_{ph}$ with the PFDM parameter $ζ$. Due to perturbations in black hole spacetime, gravitational waves are emitted in the form of quasi-normal radiations, which correspond to quasi-normal modes (QNMs). In this work, we have studied two types of perturbations in RG improved Schwarzschild spacetime: scalar field perturbations and electromagnetic (EM) field perturbations. For both cases, we have studied the effect of the PFDM parameter on the quasi-normal mode frequencies and the shadow of the black hole, which is related to the photon radius.
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