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arXiv 0807.4241gr-qchep-th
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三维陈-西蒙斯黑洞

Three-dimensional Chern-Simons black holes

K. Ait Moussa, G. Clement, H. Guennoune, C. Leygnac

摘要:

我们构造了具有引力和电磁Chern-Simons项的三维Einstein-Maxwell理论的黑洞解。这些内旋解是测地线完备的,并且在一定的参数范围内因果正则。它们的质量、角动量和熵满足黑洞热力学第一定律。这些陈-西蒙斯黑洞允许一个四参数的局部等距代数,一般是$sl(2,R)\times R$,并且可以通过局部坐标变换从相应的真空产生。

英文摘要:

We construct black hole solutions to three-dimensional Einstein-Maxwell theory with both gravitational and electromagnetic Chern-Simons terms. These intrinsically rotating solutions are geodesically complete, and causally regular within a certain parameter range. Their mass, angular momentum and entropy are found to satisfy the first law of black hole thermodynamics. These Chern-Simons black holes admit a four-parameter local isometry algebra, which generically is $sl(2,R)\times R$, and may be generated from the corresponding vacua by local coordinate transformations.

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