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arXiv 0907.4165gr-qchep-th
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三维有挠引力场的精确解

Exact solutions in 3D gravity with torsion

P. A. González, Yerko Vásquez

摘要:

本文研究了由Mielke-Baekler(MB)模型耦合到引力Chern-Simons项所给出的具有挠率的三维引力场,该引力场具有Maxwell-Chern-Simons电动力学所描述的电荷.我们发现并讨论了这个理论的带电黑洞的解决方案和不带电的解决方案。我们发现,为零扭转我们的解决方案,通过一个坐标变换,可以写为三维陈-西蒙斯黑洞。我们还讨论了这一理论的一个特例--拓扑大质量引力(TMG)在手征点上的情形,证明了TMG的对数解也是MB模型在参数空间中的一个不动点上的解。此外,我们证明了我们的解决方案在一个特定的情况下推广Godel型解决方案。同时,我们在黎曼-嘉当时空中恢复了电荷消失的BTZ黑洞。

英文摘要:

We study the three-dimensional gravity with torsion given by the Mielke-Baekler (MB) model coupled to gravitational Chern-Simons term, and that possess electric charge described by Maxwell-Chern-Simons electrodynamics. We find and discuss this theory's charged black holes solutions and uncharged solutions. We find that for vanishing torsion our solutions by means of a coordinate transformation can be written as three-dimensional Chern-Simons black holes. We also discuss a special case of this theory, Topologically Massive Gravity (TMG) at chiral point, and we show that the logarithmic solution of TMG is also a solution of the MB model at a fixed point in the space of parameters. Furthermore, we show that our solutions generalize Godel type solutions in a particular case. Also, we recover BTZ black hole in Riemann-Cartan spacetime for vanishing charge.

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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