Konoplya-Zhidenko黑洞周围的广义相对论黏滞吸积流
General relativistic viscous accretion flow around Konoplya-Zhidenko black hole
AI总结：
本研究针对Konoplya-Zhidenko黑洞，自洽求解广义相对论黏滞吸积流动力学方程，得到多类跨声速吸积解与激波解，分析形变参数等对激波特性、能谱及可观测量的影响，验证该黑洞与高频准周期振荡观测的一致性。
摘要：
我们研究了Konoplya-Zhidenko（KZ）黑洞周围的吸积流特性，该黑洞是通过单个形变参数对克尔度规进行形变而提出的，用于利用引力波观测检验无毛定理。我们自洽求解了描述广义相对论黏滞吸积流的动力学方程，得到了由能量（$E$）、角动量（$\mathcal{L}$）、黏滞参数（$α$）、自旋（$a_{k}$）和形变参数（$η_0$）等全局常数表征的跨声速吸积解。我们得到了五种不同类型的吸积解（O型、A型、$\text{A}^{\prime}$、W型和I型），并发现这些解并非唯一存在，而是在$\mathcal{L}-E$平面的宽参数空间内持续存在。此外，我们发现当满足相对论激波条件时，黏滞吸积流可以产生激波。据此我们得到了激波诱导的全局吸积解，并研究了$η_0$对激波特性的影响，例如激波半径（$r_{\rm sh}$）和激波阵面两侧的电子温度变化（$T_{\rm e}$）。再者，我们利用相对论热轫致辐射发射系数计算了吸积流的谱能量分布（SED），研究了$η_0$增大对激波解和无激波解的谱能量分布的修正作用。另外我们注意到，准周期振荡频率（$ν_{\rm QPO}$）和盘的全波段光度（$L$）等可观测量强烈依赖于$η_0$。最后，我们从唯象角度表明，KZ黑洞与黑洞双星和黑洞候选体中普遍观测到的高频准周期振荡（QPO）是一致的。
英文摘要：
We investigate the properties of accretion flows around the Konoplya-Zhidenko (KZ) black hole, which is proposed by deforming the Kerr metric with a single deformation parameter to test the no-hair theorem using gravitational wave observations. The dynamical equations describing the general relativistic viscous accreting flow are solved self-consistently to find the transonic accretion solutions in terms of global constants, such as energy ($E$), angular momentum ($\mathcal{L}$), viscosity parameter ($α$), spin ($a_{k}$), and deformation parameter ($η_0$). We obtain five distinct types of accretion solutions (O, A, $\text{A}^{\prime}$, W, and I-types), and observe that those solutions are not unique but rather continue to exist for wide range of parameter spaces in the $\mathcal{L}-E$ plane. Furthermore, we find that the viscous accretion flows can harbor shock waves when the relativistic shock conditions are satisfied. Consequently, the shock-induced global accretion solutions are obtained, and the effect of $η_0$ on shock properties, such as shock radius ($r_{\rm sh}$) and change in electron temperature ($T_{\rm e}$) across the shock front are investigated. Moreover, we calculate the spectral energy distributions (SEDs) of accretion flow using the relativistic thermal bremsstrahlung emission coefficient and study the modification of SEDs due to the increase of $η_0$ for both shock-induced and shock-free solutions. In addition, it has been noticed that the observable quantities, like quasi-periodic oscillation frequency ($ν_{\rm QPO}$) and bolometric disc luminosity ($L$), are strongly dependent on $η_0$. Finally, we phenomenologically show that the KZ black hole is consistent with the high-frequency QPOs, commonly observed in black hole binaries and black hole candidates.
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