标题： 球对称爱因斯坦-麦克斯韦理论的约化相空间，包括宇宙常数 显示英文标题

标题： The reduced phase space of spherically symmetric Einstein-Maxwell theory including a cosmological constant

摘要： 我们在这里将球对称(量子)引力的规范处理扩展到最简单的物质耦合，即带有或不带宇宙常数的球对称麦克斯韦理论。 量化基于由质量、电荷及其共轭动量参数化的约化相空间，其几何解释得到了探讨。 约化相空间的维数取决于所选的拓扑结构，这与纯(2+1)引力的情况非常相似。 我们研究了一些可能对完整(3+1)引力有意义的概念和技术细节。 我们使用了Ashtekar引入的新规范变量，这大大简化了分析。 显示英文摘要

摘要： We extend here the canonical treatment of spherically symmetric (quantum) gravity to the most simple matter coupling, namely spherically symmetric Maxwell theory with or without a cosmological constant. The quantization is based on the reduced phase space which is coordinatized by the mass and the electric charge as well as their canonically conjugate momenta, whose geometrical interpretation is explored. The dimension of the reduced phase space depends on the topology chosen, quite similar to the case of pure (2+1) gravity. We investigate several conceptual and technical details that might be of interest for full (3+1) gravity. We use the new canonical variables introduced by Ashtekar, which simplifies the analysis tremendously.