Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities
Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities
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DOI：
10.1016/j.nuclphysb.2005.03.034
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发表时间：
2004-11
期刊：
影响因子：
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通讯作者：
Z. Chong;M. Cvetič;Hong Lu;C. Pope
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文献类型：
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作者：
Z. Chong;M. Cvetič;Hong Lu;C. Pope
我们研究未计量和计量超重力下的四维非极值带电旋转黑洞。在未测量的情况下，我们获得具有四个独立电荷的旋转黑洞，作为与三个阿贝尔向量多重态耦合的 N=2 超重力解。这是通过将理论沿时间方向简化为三个维度来完成的，其中它具有 O(4,4) 全局对称性。应用于不带电克尔度量的约简，O(1,1)4⊂O(4,4) 变换生成新的解，在提升回四个维度后，对应于引入四个独立的电磁电荷。在这些电荷成对相等的情况下，我们将四维旋转黑洞推广到具有质量、角动量和两个独立电磁电荷的测量 N=4 超重力的解。膨胀子场和轴子场是非常量的。我们还发现了计量和非计量解决方案的概括，包括 NUT 参数，对于非计量解决方案，还包括加速度参数。测量超重力的解为进一步研究非零温度下的 AdS4/CFT3 对应关系提供了新的重力背景。
We study four-dimensional non-extremal charged rotating black holes in ungauged and gauged supergravity. In the ungauged case, we obtain rotating black holes with four independent charges, as solutions of N=2 supergravity coupled to three Abelian vector multiplets. This is done by reducing the theory along the time direction to three dimensions, where it has an O(4,4) global symmetry. Applied to the reduction of the uncharged Kerr metric, O(1,1)4⊂O(4,4) transformations generate new solutions that correspond, after lifting back to four dimensions, to the introduction of four independent electromagnetic charges. In the case where these charges are set pairwise equal, we then generalise the four-dimensional rotating black holes to solutions of gauged N=4 supergravity, with mass, angular momentum and two independent electromagnetic charges. The dilaton and axion fields are non-constant. We also find generalisations of the gauged and ungauged solutions to include the NUT parameter, and for the ungauged solutions, the acceleration parameter too. The solutions in gauged supergravity provide new gravitational backgrounds for a further study of the AdS4/CFT3correspondence at non-zero temperature.