Investigation of the large scale structure and stability of supersymmetric solutions in higher-dimensional supergravities

对高能粒子物理学和宇宙演化的研究有力地表明，我们的宇宙在超微观尺度上的维度大于4。为了明确这一建议的有效性，我们研究了高维引力理论中宇宙模型和黑洞的行为和性质。作为一项成就，我们已经找到了一个候选解，描述了一个四维时空的动力过程，可以从高维时空中获得。进一步，我们系统地考察了高维爱因斯坦引力下黑洞的稳定性，其中，我们发现在具有负宇宙常数的高维时空中，快速旋转的黑洞是动态不稳定的。

The investigations of high-energy particle physics and the evolution of the Universe strongly suggest that our Universe has dimensions greater than 4 on super-micro scales. In order to make clear the validity of this suggestion, we have studied the behavior and properties of universe models and black holes in higher-dimensional gravity theories. As an achievement, we have found a candidate solution describing a dynamical process for a four-dimensional spacetime to be obtained from a higher-dimensional spacetime. Further, we have examined the stability of black holes in higher-dimensional Einstein gravity systematically, and among all, we have discovered that a rapidly rotating black hole is dynamically unstable in higher-dimensional spacetime with negative cosmological constant.