关于MOTS的稳定性
On the Stability of MOTS
摘要：
在本文中，它示出（使用NP-自旋系数形式主义），MOTS特征值问题可以制定-对于某些类的几何模型在GR -这样的MOTS稳定性算子采取自伴形式，尽管是一个明显的非自伴微分算子。这种形式是通过执行适当的零旋转来获得的，零旋转被选择为使得所考虑的MOTS保持这样，即，过渡到新的MOTS。其次是爱因斯坦张量的某些分量。应力-能量张量为零，使MOTS算子成为所需形式的主要先决条件是存在非扩展零视界以及MOTS算子的一组本征函数，该本征函数不沿着所述视界的生成元的Lie流改变。为了说明，开发的方法适用于克尔-纽曼家族的时空。
英文摘要：
In this paper, it is shown (using the NP-spin coefficient formalism) that the MOTS eigenvalue problem can be formulated - for certain classes of geometric models in GR - such that the MOTS stability operator takes a self-adjoint form, despite being a manifestly non-self-adjoint differential operator. This form is obtained by performing a suitable null rotation, which is chosen so that the MOTS under consideration remain such, i.e., transition into new MOTS. Next to the requirement that certain components of the Einstein tensor - resp. the stress-energy tensor - be zero, the main prerequisite for bringing the MOTS operator into the required form is the existence of a non-expanding null horizon together with a set of eigenfunctions of the MOTS operator that does not change along the Lie flow of the generator of said horizon. For illustration, the developed method is applied to the Kerr-Newman family of spacetimes.
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