Quantum stress tensor in the three-dimensional black hole.
Quantum stress tensor in the three-dimensional black hole.
复制标题
三维黑洞中的量子应力张量。
DOI：
10.1103/physrevd.49.585
复制
发表时间：
1993
期刊：
影响因子：
--
通讯作者：
A. Steif
中科院分区：
文献类型：
--
作者：
A. Steif
The quantum stress tensor 〈${\mathit{T}}_{\mathrm{\ensuremath{\mu}}\ensuremath{\nu}}$〉 is calculated in the (2+1)-dimensional black hole found by Banados, Teitelboim, and Zanelli. The Green's function, from which 〈${\mathit{T}}_{\mathrm{\ensuremath{\mu}}\ensuremath{\nu}}$〉 is derived, is obtained by the method of images. For the nonrotating black hole, it is shown that 〈${\mathit{T}}_{\mathrm{\ensuremath{\mu}}\ensuremath{\nu}}$〉 is finite on the event horizon, but diverges at the singularity. For the rotating solution, the stress tensor is finite at the outer horizon, but diverges near the inner horizon. This suggests that the inner horizon is quantum mechanically unstable against the formation of a singularity.
The quantum stress tensor 〈${\mathit{T}}_{\mathrm{\ensuremath{\mu}}\ensuremath{\nu}}$〉 is calculated in the (2+1)-dimensional black hole found by Banados, Teitelboim, and Zanelli. The Green's function, from which 〈${\mathit{T}}_{\mathrm{\ensuremath{\mu}}\ensuremath{\nu}}$〉 is derived, is obtained by the method of images. For the nonrotating black hole, it is shown that 〈${\mathit{T}}_{\mathrm{\ensuremath{\mu}}\ensuremath{\nu}}$〉 is finite on the event horizon, but diverges at the singularity. For the rotating solution, the stress tensor is finite at the outer horizon, but diverges near the inner horizon. This suggests that the inner horizon is quantum mechanically unstable against the formation of a singularity.