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arXiv 1506.00725gr-qc
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含尘埃的三维引力:经典和量子理论

3D gravity with dust: classical and quantum theory

Viqar Husain, Jonathan Ziprick

摘要:

作为具有局部自由度的非微扰量子引力模型的一个例子,我们研究了三维时空中的爱因斯坦引力和尘埃系统。我们导出了尘埃时间规范中的哈密顿理论,并证明了它有丰富的一类精确解。这些包括Bañados-Teitelboim-Zanelli黑洞,静态解与裸奇点和行波解与动态视野。我们给出了一个完整的量子化的波扇区的理论,包括一个自伴时空度规算子的定义。该算子用于证明亏损角的量子化和动力学视界的涨落。

英文摘要:

We study the Einstein gravity and dust system in three spacetime dimensions as an example of a non-perturbative quantum gravity model with local degrees of freedom. We derive the Hamiltonian theory in the dust time gauge and show that it has a rich class of exact solutions. These include the Bañados-Teitelboim-Zanelli black hole, static solutions with naked singularities and travelling wave solutions with dynamical horizons. We give a complete quantization of the wave sector of the theory, including a definition of a self-adjoint spacetime metric operator. This operator is used to demonstrate the quantization of deficit angle and the fluctuation of dynamical horizons.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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