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arXiv 1201.0601hep-thgr-qc
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作为标度极限的黑洞的共形对称性：渐近锥盒中的黑洞

Conformal Symmetry of a Black Hole as a Scaling Limit: A Black Hole in an Asymptotically Conical Box

M. Cvetic, G. W. Gibbons

备注：
Sections 3 and 4 significantly augmented
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摘要：

我们表明，以前得到的四维渐近平坦的多电荷旋转黑洞的减去几何，其无质量的波动方程表现出$SL(2,\R) \times SL(2,\R) \times SO(3)$对称性，可以得到适当的缩放限制某些渐近平坦的多电荷旋转黑洞，这是令人想起的近极端黑洞在稀释气体近似。的co-homogeneity-2几何支持的膨胀场和两个（电）规范场强度。我们还指出，这些减去的几何可以作为一个特定的哈里森变换的原始黑洞。此外，减去的度量是渐近圆锥（AC），像全球单极，从而描述"一个黑洞在AC盒"。最后，我们占的$SL(2,\R) \times SL(2,\R) \times SO(3)$对称性的出现作为一个后果的减去度量是卡鲁扎-克莱因型的$ AdS_3\times 4 S^3$。我们证明了类似的性质适用于五维黑洞。

英文摘要：

We show that the previously obtained subtracted geometry of four-dimensional asymptotically flat multi-charged rotating black holes, whose massless wave equation exhibit $SL(2,\R) \times SL(2,\R) \times SO(3)$ symmetry may be obtained by a suitable scaling limit of certain asymptotically flat multi-charged rotating black holes, which is reminiscent of near-extreme black holes in the dilute gas approximation. The co-homogeneity-two geometry is supported by a dilation field and two (electric) gauge-field strengths. We also point out that these subtracted geometries can be obtained as a particular Harrison transformation of the original black holes. Furthermore the subtracted metrics are asymptotically conical (AC), like global monopoles, thus describing "a black hole in an AC box". Finally we account for the the emergence of the $SL(2,\R) \times SL(2,\R) \times SO(3)$ symmetry as a consequence of the subtracted metrics being Kaluza-Klein type quotients of $ AdS_3\times 4 S^3$. We demonstrate that similar properties hold for five-dimensional black holes.

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