标题： 球对称爱因斯坦-麦克斯韦理论包含宇宙学常数的约化相空间量子化 显示英文标题

标题： Reduced Phase Space Quantization of spherically symmetric Einstein-Maxwell-Theory including a cosmological constant

摘要： 我们在这里提供球对称(量子)引力与球对称麦克斯韦理论耦合的规范处理，无论是否存在宇宙学常数。 量化基于由质量、电荷及其共轭动量参数化的约化相空间，其几何解释被探讨。 约化相空间的维度取决于所选拓扑，这与纯(2+1)引力的情况非常相似。 我们还将约化相空间量化与代数量化进行了比较。 总的来说，我们观察到，目前的模型为完整的(3+1)引力提供了一个有趣的测试平台。 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 present here the canonical treatment of spherically symmetric (quantum) gravity coupled to 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 also compare the reduced phase space quantization to the algebraic quantization. Altogether, we observe that the present model serves as an interesting testing ground for full (3+1) gravity. We use the new canonical variables introduced by Ashtekar which simplifies the analysis tremendously.