Black holes with scalar hair and asymptotics in N = 8 supergravity
Black holes with scalar hair and asymptotics in N = 8 supergravity
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DOI：
10.1088/1126-6708/2004/07/051
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发表时间：
2004-04
影响因子：
5.4
通讯作者：
T. Hertog;Kengo Maeda
中科院分区：
文献类型：
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作者：
T. Hertog;Kengo Maeda
我们考虑在D = 4和D = 5中的= 8规范超引力。我们证明了可以弱化度量和所有标量上的边界条件，使m2 < −（D − 1）2/4 + 1，同时保持渐近反德西特（AdS）对称性。每个标量承认一个参数家庭的AdS不变的边界条件的度量福尔斯下降比平常慢。渐近对称的生成元是有限的，但一般从标量中获得贡献。对于一个大类的边界条件，我们用数值方法找到一个单参数的黑洞族标量头发。这些解存在于某个临界质量以上，并且与Schwarschild-AdS黑洞断开，这是所有边界条件的解。我们证明了Schwarschild-AdS黑洞比相同质量的多毛黑洞具有更大的熵。毛茸茸的黑洞提升到10维或11维的非均匀黑膜解。我们简要讨论了如何广义AdS不变的边界条件可以纳入AdS/CFT对应。
We consider = 8 gauged supergravity in D = 4 and D = 5. We show one can weaken the boundary conditions on the metric and on all scalars with m2 < − (D − 1)2/4 + 1 while preserving the asymptotic anti-de Sitter (AdS) symmetries. Each scalar admits a one-parameter family of AdS-invariant boundary conditions for which the metric falls off slower than usual. The generators of the asymptotic symmetries are finite, but generically acquire a contribution from the scalars. For a large class of boundary conditions we numerically find a one-parameter family of black holes with scalar hair. These solutions exist above a certain critical mass and are disconnected from the Schwarschild-AdS black hole, which is a solution for all boundary conditions. We show the Schwarschild-AdS black hole has larger entropy than a hairy black hole of the same mass. The hairy black holes lift to inhomogeneous black brane solutions in ten or eleven dimensions. We briefly discuss how generalized AdS-invariant boundary conditions can be incorporated in the AdS/CFT correspondence.