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

对高能粒子物理和宇宙演化的研究有力地表明，我们的宇宙在超微尺度上具有大于4的维度。为了弄清这一建议的正确性，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，我们找到了一个描述从高维时空获得的四维时空的动力学过程的候选解。此外，我们还系统地研究了高维爱因斯坦引力下黑洞的稳定性，发现快速旋转的黑洞在具有负宇宙常数的高维时空中是动态不稳定的。

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.