论文标题
轴向对称BTZ黑洞内部的信息演变
Information evolution in the interior of an axially symmetric BTZ black hole
论文作者
论文摘要
在本文中,我们考虑一个轴向对称的$(2+1) - $尺寸旋转Banados-teitelboim-Zanelli(BTZ)黑洞,以研究其内部\ TextBf {inovernal}。首先,我们在$ r_v = 0.45 $下选择最大的类似空间的超露面,并计算由其绑定的最大内部体积。我们发现内部体积会随着预先的时间$ v $而增加。同样,\ textbf {scalar}量子模式熵\ textbf {is}也发现随着时间的推移而增加。下一个\ textbf {,}考虑两个重要的假设,在\ textbf {标量}量子模式熵的变化与bekenstein hawking熵\ textbf {textbf {a} InfitIntimimimail Interal nestimal之间。与较高尺寸黑洞的演化关系相反,这种关系的特征是它随着黑洞质量的极大增加而增加。此外,这项工作将黑洞蒸发想法的概念扩展到了较低的时空维度。
In this paper, we consider an axially symmetric $(2+1)-$dimensional rotating Banados-Teitelboim-Zanelli (BTZ) black hole to investigate its interior \textbf{information}. First, we choose a largest space-like hyper-surface at $r_v=0.45$ and calculate the maximal interior volume bound by it. We found the interior volume to increase with advance time $v$. Similarly, the \textbf{scalar} quantum mode entropy \textbf{is} also found to increase with advance time. Next\textbf{,} considering two important assumptions, an evolution relation is obtained between \textbf{the variation of scalar} quantum mode entropy and Bekenstein Hawking entropy \textbf{for an} infinitesimal interval of time. In contrast to the evolution relation of higher dimensional black holes, the characteristic feature of this relation is its increase with extremely large increase in black hole mass. Moreover, this work extends the notion of black hole evaporation idea to lower space-time dimensions.