论文标题

实际Ashtekar变量中的轴对称重力:量子理论

Axisymmetric gravity in real Ashtekar variables: the quantum theory

论文作者

Gambini, Rodolfo, Mato, Esteban, Pullin, Jorge

论文摘要

在上一篇论文中,我们根据实际Ashtekar-Barbero变量提出了轴对称的一般相对性。在这里,我们继续量化理论。我们能够实施Thiemann的Hamiltonian约束版本。我们讨论了它的作用,包括矩阵元素及其解决方案。这提供了一个2+1维舞台,以测试量子重力动力学的想法,并打开了旋转黑洞空位的量子研究的可能性。

In a previous paper we formulated axisymmetric general relativity in terms of real Ashtekar--Barbero variables. Here we proceed to quantize the theory. We are able to implement Thiemann's version of the Hamiltonian constraint. We discuss its action including the matrix elements and its solutions. This provides a 2+1 dimensional arena to test ideas for the dynamics of quantum gravity and opens the possibility of quantum studies of rotating black hole spacetimes.

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