标题： 经典与量子行为的多维可积宇宙学 显示英文标题

标题： Classical and Quantum Behaviour of Multidimensional Integrable Cosmologies

摘要： 多维宇宙模型与$n~(n > 1)$爱因斯坦空间在经典和规范量子化方面进行了讨论。 这些模型在内部空间为里奇平坦的情况下是可积的。 对于外部空间的负曲率，我们找到了精确的经典解，这些解模拟了内部空间的动力学以及自发紧致化。 自发紧致化被证明是一个吸引子解。 还得到了量子 Wheeler-DeWitt 方程的解。 其中一些解描述了隧穿过程，可以被解释为宇宙从“无”中诞生。 显示英文摘要

摘要： Multidimensional cosmological models with $n~(n > 1)$ Einstein spaces are discussed classically and with respect to canonical quantization. These models are integrable in the case of Ricci flat internal spaces. For negative curvature of the external space we find exact classical solutions modelling dynamical as well as spontaneous compactification of the internal spaces. Spontaneous compactification turns out to be an attractor solution. Solutions of the quantum Wheeler-DeWitt equation are also obtained. Some of them describe the tunneling process to be interpreted as the birth of the universe from ''nothing''.