非度量性如何塑造旋转大黄蜂黑洞的量子发射？
How does nonmetricity shape quantum emission from rotating bumblebee black holes?
AI总结：
该研究对比度量与度量-仿射解，分析非度量性对旋转大黄蜂黑洞量子发射的影响，推导相关物理量并给出弱场约束，发现度量-仿射黑洞辐射更少、蒸发更慢。
AI中文摘要：
我们通过比较度量解与度量-仿射解，研究非度量性对旋转大黄蜂黑洞中粒子产生和蒸发的影响。在定义物理频率、角速度和温度前，我们对空间无穷远处的稳态基灵矢量进行归一化，该过程改变了静态对比，给出了主导校准ℓ=3X/4。在度量解中，ℓ会移动视界、稳态极限面和极值边界，增大归一化视界角速度，抑制霍金温度；但表面引力保持均匀，标量波方程可分离。我们推导了隧穿因子、量子占据数、径向势，以及轴对称灰体因子的解析下界。在度量-仿射几何中，非度量性保留视界和稳态极限面的克尔坐标位置，但改变了物理视界面积、归一化角速度和子午部分；分量g_{rθ}耦合角通道，当aX≠0时，局部表面引力依赖于纬度，因此一般旋转构型既无单一全局霍金温度，也无独立的逐通道发射谱。在静态极限下，根据相同的斯特藩-玻尔兹曼公式，两种洛伦兹破缺几何的光度更低、寿命更长，其中度量-仿射黑洞辐射更少、蒸发更慢；局部慢旋转展开保持了这一趋势，但未确立全局旋转蒸发层级。现有弱场约束将静态量子发射可观测量的分数修正限制在1.3×10^{-11}以下。
英文摘要：
We investigate how nonmetricity affects particle creation and evaporation in rotating bumblebee black holes by comparing metric and metric-affine solutions. We normalize the stationary Killing vectors at spatial infinity before defining physical frequencies, angular velocities, and temperatures. This procedure changes the static comparison and gives the leading calibration $\ell=3X/4$. In the metric solution, $\ell$ shifts the horizons, stationary limit surfaces, and extremal boundary, increases the normalized horizon angular velocity, and suppresses the Hawking temperature. Nevertheless, the surface gravity remains uniform and the scalar wave equation separable. We derive the tunneling factors, quantum occupation numbers, radial potential, and an analytical lower bound for the axisymmetric greybody factor. In the metric-affine geometry, nonmetricity preserves the Kerr coordinate locations of the horizons and stationary limit surfaces, but changes the physical horizon area, normalized angular velocity, and meridional sector. The component $g_{rθ}$ couples angular channels, whereas the local surface gravity depends on latitude when $aX\neq0$. Consequently, the generic rotating configuration admits neither a single global Hawking temperature nor an independent channel-by-channel emission spectrum. In the static limit, under the same Stefan-Boltzmann prescription, both Lorentz-violating geometries have lower luminosities and longer lifetimes, with the metric-affine black hole radiating less and evaporating more slowly. A local slow-rotation expansion preserves this tendency but does not establish a global rotating evaporation hierarchy. Existing weak-field constraints limit fractional corrections to static quantum-emission observables to below $1.3\times10^{-11}$.
