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arXiv 0906.3559hep-thgr-qc
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拓扑有质量引力场解的分类

Classification of solutions in topologically massive gravity

David D. K. Chow, C. N. Pope, Ergin Sezgin

摘要:

我们研究了具有宇宙学常数和引力陈-西蒙斯项的三维引力的精确解:这个理论被称为拓扑大质量引力。在回顾了代数分类之后,我们证明了如果一个解具有代数型D的曲率,那么它是双轴压缩的AdS_3。应用分类,我们提供了一个全面的文献综述,表明大多数已知的解决方案是本地等价的双轴压扁AdS_3或AdS PP波。

英文摘要:

We study exact solutions of three-dimensional gravity with a cosmological constant and a gravitational Chern-Simons term: the theory known as topologically massive gravity. After reviewing the algebraic classification, we show that if a solution has curvature of algebraic type D, then it is biaxially squashed AdS_3. Applying the classification, we provide a comprehensive review of the literature, showing that most known solutions are locally equivalent to biaxially squashed AdS_3 or to AdS pp-waves.

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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