论文标题
五维黑洞背景中无质量标量的模式稳定性
Mode Stability For Massless Scalars In Five-Dimensional Black Hole Backgrounds
论文作者
论文摘要
The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes gravitational perturbations and then transforming the radial and angular equations in such a way that the problem can be reformulated as a wave equation in an auxiliary spacetime in which the proof of stability is greatly simplified, owing to the absence of an ergoregion.作为将这些想法扩展到更高维的黑洞的初步步骤，我们研究了爱因斯坦重力和超级重力的五维黑洞溶液中无质量标量波方程的模式稳定性。我们展示了如何再次将波方程映射到一个没有尖刻的辅助时空中，这使我们能够证明标量波方程溶液的模式稳定性。
The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes gravitational perturbations and then transforming the radial and angular equations in such a way that the problem can be reformulated as a wave equation in an auxiliary spacetime in which the proof of stability is greatly simplified, owing to the absence of an ergoregion. As a preliminary step towards extending these ideas to higher-dimensional black holes, we study the mode stability of the massless scalar wave equation in the five-dimensional black hole solutions of Einstein gravity and supergravity. We show how the wave equation can again be mapped into one in an auxiliary spacetime in which there is no ergoregion, allowing us to give a proof of the mode stability of the solutions of the scalar wave equation.
