Quantum Fluxes at the Inner Horizon of a Spherical Charged Black Hole.
Quantum Fluxes at the Inner Horizon of a Spherical Charged Black Hole.
复制标题
球形带电黑洞内视界的量子通量。
作者：
Noa Zilberman;A. Levi;A. Ori
在持续探索黑洞内部几何上的量子效应的努力中，我们明确地计算⟨T_{uu}⟩_{ren}和⟨T_{vv}⟩_{ren}的半经典通量分量（u和v是标准Eddington坐标），用于Reissner-Nordström黑洞内视界（IH）附近的最小耦合无质量量子标量场的重整化应力-能量张量。这两个通量分量似乎主导了IH附近反作用的影响，而且它们的正则化过程显示出显著的简单性。我们考虑Hartle-Hawking和Unruh量子态，后者对应于一个蒸发的黑洞。在两个量子态中，我们计算⟨T_{uu}⟩_{ren}和⟨T_{vv}⟩_{ren}在IH附近的广泛Q/M值。我们发现⟨T_{uu}⟩_{ren}和⟨T_{vv}⟩_{ren}在IH处获得有限渐近值。根据Q/M的不同，这些渐近值要么是正的，要么是负的（或者在两者之间消失）。注意，在IH处有一个不消失的⟨T_{vv}⟩_{ren}意味着在它的入线部分，柯西视界上形成了一个曲率奇点。在这些发现的激励下，我们也在探索这些半经典通量对近h几何的反作用方面迈出了初步的步伐。
In an ongoing effort to explore quantum effects on the interior geometry of black holes, we explicitly compute the semiclassical flux components ⟨T_{uu}⟩_{ren} and ⟨T_{vv}⟩_{ren} (u and v being the standard Eddington coordinates) of the renormalized stress-energy tensor for a minimally coupled massless quantum scalar field, in the vicinity of the inner horizon (IH) of a Reissner-Nordström black hole. These two flux components seem to dominate the effect of backreaction in the IH vicinity, and furthermore, their regularization procedure reveals remarkable simplicity. We consider the Hartle-Hawking and Unruh quantum states, the latter corresponding to an evaporating black hole. In both quantum states, we compute ⟨T_{uu}⟩_{ren} and ⟨T_{vv}⟩_{ren} in the IH vicinity for a wide range of Q/M values. We find that both ⟨T_{uu}⟩_{ren} and ⟨T_{vv}⟩_{ren} attain finite asymptotic values at the IH. Depending on Q/M, these asymptotic values are found to be either positive or negative (or vanishing in between). Note that having a nonvanishing ⟨T_{vv}⟩_{ren} at the IH implies the formation of a curvature singularity on its ingoing section, the Cauchy horizon. Motivated by these findings, we also take initial steps in the exploration of the backreaction effect of these semiclassical fluxes on the near-IH geometry.