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arXiv 0811.3948hep-thgr-qc
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关于Einstein-Maxwell-Chern-Simons理论中旋转带电黑洞的注记

Note on Rotating Charged Black Holes in Einstein-Maxwell-Chern-Simons Theory

Alikram N. Aliev, Dilek K. Ciftci

摘要:

我们证明了Chong,Cvetic,Lu和Pope关于五维最小规范超引力中非极值旋转带电黑洞的通解,或者等价地在具有负宇宙学常数和Chern-Simons系数$ ν=1 $的Einstein-Maxwell-Chern-Simons理论中的通解,在具有两个标量函数的Kerr-Schild型框架中得到了一个简单的描述.其次,在此框架下,我们得到了含$ ν\neq 1 .$的Einstein-Maxwell-Chern-Simons理论中慢旋转带电黑洞的新的解析解。利用Katz-Bicak-Lynden-Bell方法中由Noether恒等式导出的协变超势,我们计算了一般超引力解和含两个独立旋转参数的慢旋转黑洞解的质量和角动量。对于后一种情况,我们还计算了旋磁比,并得到了简单的解析公式,其中包含了黑洞的参数和Chern-Simons系数。

英文摘要:

We show that the general solution of Chong, Cvetic, Lu and Pope for nonextremal rotating charged black holes in five-dimensional minimal gauged supergravity, or equivalently in the Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant and with the Chern-Simons coefficient $ ν=1 $, admits a simple description in a Kerr-Schild type framework with two scalar functions. Next, assuming this framework as an ansatz, we obtain new analytic solutions for slowly rotating charged black holes in the Einstein-Maxwell-Chern-Simons theory with $ ν\neq 1 .$ Using a covariant superpotential derived from Noether identities within the Katz-Bicak-Lynden-Bell approach, we calculate the mass and angular momenta for the general supergravity solution as well as for the slowly rotating solution with two independent rotation parameters. For the latter case, we also calculate the gyromagnetic ratios and obtain simple analytic formulas, involving both the parameters of the black holes and the Chern-Simons coefficient.

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