Simpson-Visser 正则化下的量子 Oppenheimer-Snyder-Datt 黑洞
Simpson-Visser regularization of the quantum Oppenheimer-Snyder-Datt black hole
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中文总结 AI 辅助
该研究将 Simpson-Visser 正则化应用于量子 Oppenheimer-Snyder-Datt 黑洞，系统分析了其几何、轨道、热力学及准正则模，揭示了参数对观测量的不同约束作用及拓扑荷的改变。
中文摘要 AI 辅助
我们研究了将 Simpson-Visser 处方 $r\to\sqrt{r^2+a^2}$ 应用于圈量子宇宙学的量子 Oppenheimer-Snyder-Datt (qOSD) 黑洞所得到的球对称几何，其 lapse 函数 $A=1-2M/R+\alpha M^2/R^4$ 携带修正参数 $\alpha$。该几何族在 qOSD 黑洞（$a\to0$）、Simpson-Visser 黑洞弹跳（$\alpha\to0$）和 Schwarzschild 黑洞之间进行插值。对于所有 $a>0$，几何都是正则的；喉部处的 Ricci 标量对 $\alpha$ 不敏感，而 Kretschmann 标量则对其敏感；喉部处的零能量条件被违反，违反量为 $-1/(4\pi a^2)$。$(\alpha,a)$ 平面被划分为双视界正则黑洞、具有隐藏弹跳且无 Cauchy 视界的单视界黑洞，以及可穿越虫洞；中间区域无需精细调节即可消除正则黑洞的质量膨胀通道。由于圆轨道由面积半径决定，光子球、阴影、ISCO 和方位角 epicyclic 频率仅依赖于 $\alpha$，而 Lyapunov 指数和径向 epicyclic 频率则携带因子 $\sqrt{1-a^2/R^2}$：阴影仅约束 $\alpha$，而 ringdown 阻尼和双峰准周期振荡比率对 $a$ 敏感。我们推导了视界热力学，其满足第一定律的熵偏离面积定律，并表明弹跳在任意 $\alpha$ 下将热力学拓扑荷从 $W=-1$ 改变为 $W=0$。我们使用三阶 WKB、Chebyshev 谱配置法和时域积分计算了标量、电磁和 Dirac 准正则模谱，这些方法的结果彼此一致，并与 eikonal 标度一致。灰体因子界限、Hawking 辐射、级联稀疏性和 ringdown 品质因子完善了分析，在虫洞区域，双峰势产生了回声。
英文摘要
We study the spherical geometry from the Simpson-Visser prescription $r\to\sqrt{r^2+a^2}$ to the quantum Oppenheimer-Snyder-Datt (qOSD) black hole of loop quantum cosmology, whose lapse function $A=1-2M/R+αM^2/R^4$ carries the correction $α$. This family interpolates between the qOSD black hole ($a\to0$), the Simpson-Visser black bounce ($α\to0$), and Schwarzschild. The geometry is regular for every $a>0$, the Ricci scalar at the throat is blind to $α$ while the Kretschmann scalar is not, and the null energy condition is violated at the throat by $-1/(4πa^2)$. The $(α,a)$ plane splits into a two-horizon regular black hole, a single-horizon black hole with a hidden bounce, no Cauchy horizon, and a traversable wormhole; the middle region removes the mass-inflation channel of regular black holes without fine tuning. Because circular orbits are governed by the areal radius, photon sphere, shadow, ISCO and azimuthal epicyclic frequency depend on $α$ only, whereas the Lyapunov exponent and radial epicyclic frequency carry the factor $\sqrt{1-a^2/R^2}$: shadow constrains only $α$, while ringdown damping and the twin-peak quasiperiodic-oscillation ratio are sensitive to $a$. We derive horizon thermodynamics with a first-law entropy that departs from the area law, show that the bounce changes the thermodynamic topological charge from $W=-1$ to $W=0$ at every $α$, and compute scalar, electromagnetic and Dirac quasinormal spectra using third-order WKB, Chebyshev spectral collocation and time-domain integration, which agree with one another and with eikonal scaling. Greybody bounds, Hawking emission, cascade sparsity and ringdown quality factor complete the analysis, and in the wormhole region the double-peaked potential produces echoes.
发表机构
- The Assam Royal Global University（阿萨姆皇家全球大学）
- Al-Hussein Bin Talal University（侯赛因·本·塔拉勒大学）
- Eastern Mediterranean University（东地中海大学）
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