Near-horizon local instability and quantum thermality
Near-horizon local instability and quantum thermality
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DOI：
10.1103/physrevd.102.124047
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发表时间：
2020-12-21
影响因子：
5
通讯作者：
Majhi, Bibhas Ranjan
中科院分区：
文献类型：
--
作者：
Dalui, Surojit;Majhi, Bibhas Ranjan
我们重新审视我们先前提出的假设视界产生了一个局部的不稳定性，它是黑洞量子温度的来源。研究发现，在Eddington-Finkelstein（EF）坐标系中，沿零轨迹沿着运动的不带电无质量粒子在视界附近会产生不稳定性。这种不稳定性与粒子运动无关。此外，与EF坐标相关联的观察者发现局部哈密顿量为xp，其中p是对应于坐标x的正则动量。最后，使用这个哈密顿量，我们注意到，在量子水平上，这类观察者感觉视界是一个热物体，其温度由霍金表达式给出。我们通过使用量子力学中的各种技术来证明这一点，从而支持了我们先前的主张--自动的局部不稳定性可能是视界作为热物体出现的一种机制。在这个过程中，本分析提供了另一组坐标（即EF框架），除了我们早期的Painleve框架，其中无质量粒子的零轨迹由近视界区域中的xp型哈密顿量控制。
We revisit our previous proposed conjecture-the horizon creates a local instability which acts as the source of the quantum temperature of a black hole. It is found that a chargeless massless particle moving along the null trajectory in Eddington-Finkelstein (EF) coordinates feels instability in the vicinity of the horizon. Such instability is observer independent for this particle motion. Moreover, an observer associated with EF coordinates finds the local Hamiltonian as xp, where p is the canonical momentum corresponding to the coordinate x. Finally, using this Hamiltonian, we notice that, at the quantum level, this class of observers feels the horizon as a thermal object with the temperature given by the Hawking expression. We provide this by using various techniques in quantum mechanics and, thereby, bolster our earlier claim-the automatic local instability can be a mechanism for emerging the horizon as a thermal object. In this process, the present analysis provides another set of coordinates (namely, the EF frame), in addition to our earlier Painleve ones, in which the null trajectory of the massless particle is governed by an xp-type Hamiltonian in the near-horizon regime.