论文标题
局部旋转对称解的地平线区域结合和MOT稳定性
Horizon area bound and MOTS stability in locally rotationally symmetric solutions
论文作者
论文摘要
在本文中，我们研究了边缘外部捕获的表面（MOT）的稳定性，形式的$ r = x（τ）$的叶状范围，嵌入了本地旋转的II类Perfect Perfect Fluid SpaceTime。获得了稳定MOT的区域的上限。 It is shown that any stable MOTS of the types considered in these spacetimes must be strictly stably outermost, that is, there are no MOTS ``outside" of and homologous to $\mathcal{S}$. Aspects of the topology of the MOTS, as well as the case when an extension is made to imperfect fluids, are discussed. Some non-existence results are also obtained. Finally, the ``growth" of certain在指定条件下提供了某些不稳定MOT的物质和曲率数量。
In this paper, we study the stability of marginally outer trapped surfaces (MOTS), foliating horizons of the form $r=X(τ)$, embedded in locally rotationally symmetric class II perfect fluid spacetimes. An upper bound on the area of stable MOTS is obtained. It is shown that any stable MOTS of the types considered in these spacetimes must be strictly stably outermost, that is, there are no MOTS ``outside" of and homologous to $\mathcal{S}$. Aspects of the topology of the MOTS, as well as the case when an extension is made to imperfect fluids, are discussed. Some non-existence results are also obtained. Finally, the ``growth" of certain matter and curvature quantities on certain unstable MOTS are provided under specified conditions.
