Higher derivative corrections to locally black brane metrics
Higher derivative corrections to locally black brane metrics
复制标题
对局部黑膜指标进行更高的导数修正
DOI：
10.1088/1126-6708/2008/05/082
复制
发表时间：
2008
影响因子：
5.4
通讯作者：
Suvankar Dutta
中科院分区：
文献类型：
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作者：
Suvankar Dutta
本文将局部提升黑膜时空的构造推广到高阶导数引力。我们考虑高斯-博内项（系数为“0”）作为一个玩具例子。我们在边界导数展开中找到了α'修正的一阶Einstein方程的解。这使我们能够在体作用量中存在高斯-博内项的情况下找到对边界应力张量的α'修正。因此，我们得到的剪切粘度与熵的比值与文献中的其他计算方法一致。
In this paper we generalize the construction of locally boosted black brane space time to higher derivative gravities. We consider the Gauss-Bonnet term (with coefficient α') as a toy example. We find the solution to the α' corrected Einstein equations to first order in the boundary derivative expansion. This allows us to find the α' corrections to the boundary stress tensor in the presence of the Gauss-Bonnet term in the bulk action. We therefore obtain the ratio of shear viscosity to entropy which agrees with other methods of computation in the literature.