用耦合系统的$S$ -形变方法分析黑洞的稳定性
Stability analysis of black holes by the $S$-deformation method for coupled systems
摘要：
本文提出了一种简单的方法来证明当扰动场方程为耦合薛定谔方程时黑洞的线性模稳定性。时空的线性模稳定性由适当的$S$ -形变的存在来保证。这种$S$ -变形与零能量薛定谔系统解的黎卡提变换有关。我们应用这种形式主义的一些例子，并数值研究其稳定性。
英文摘要：
We propose a simple method to prove the linear mode stability of a black hole when the perturbed field equations take the form of a system of coupled Schrödinger equations. The linear mode stability of the spacetime is guaranteed by the existence of an appropriate $S$-deformation. Such an $S$-deformation is related to the Riccati transformation of a solution to the Schrödinger system with zero energy. We apply this formalism to some examples and numerically study their stability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
