论文标题
来自非线性超级倾斜头发的黑洞的鹰助剂
Hawking Flux from a Black Hole with Nonlinear Supertranslation Hair
论文作者
论文摘要
我们通过Robinson和Wilczek提出的异常取消方法研究黑洞的鹰助剂通量。与考虑线性超级倾斜头发的黑洞的较早研究不同，我们的研究考虑到了二次序列的超递增头发，从而产生了角度依赖的视野。结果，高度非平凡的动力混合物出现在（1+1）d近距离的球形kaluza-klein模式中，这掩盖了霍金·助剂的传统推导。但是，在经过一系列的字段重新定义之后，我们可以将模式混合置于规范的正常模式中，但是这些正常模式的减少指标取决于模式。尽管如此，最终的霍金助剂事实与模式无关，并且与Schwarzschild的助手相同。因此，一个人无法通过检查鹰式通量来从Schwarzschild的非线性超级倾斜头发中分辨出黑孔，以便可以将非线性柔软的毛发视为微晶格。
We study the Hawking flux from a black hole with soft hair by the anomaly cancellation method proposed by Robinson and Wilczek. Unlike the earlier studies considering the black hole with linear supertranslation hair, our study takes into account the supertranslation hair to the quadratic order, which then yields the angular dependent horizon. As a result, highly nontrivial kinetic-mixings appear among the spherical Kaluza-Klein modes of the (1+1)d near-horizon reduced theory, which obscures the traditional derivation of the Hawking flux. However, after a series of field re-definitions, we can disentangle the mode-mixings into canonical normal modes, but the reduced metrics for these normal modes are mode-dependent. Despite of this, the resultant Hawking flux turns out to be mode-independent and remains the same as the Schwarzschild's one. Thus, one cannot tell the black holes with nonlinear supertranslation hairs from the Schwarzschild's one by examining the Hawking flux, so that the nonlinear soft hairs can be thought as the microstates.
