Black hole entropy and viscosity bound in Horndeski gravity

Black hole entropy and viscosity bound in Horndeski gravity
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Horndeski 引力中的黑洞熵和粘度约束

DOI:
10.1007/jhep11(2015)176
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发表时间:
2015-09
期刊:
The Journal of High Energy Physics
影响因子:
--
通讯作者:
Pope C. N.
Pope C. N.
中科院分区:
其他
文献类型:
--
作者:
Feng Xing-Hui;Liu Hai-Shan;Lu H.;Pope C. N.

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霍恩斯德斯基引力是引力与标量场耦合的理论,其中作用包含了一个额外的非最小二次耦合标量,通过它的一阶导数,到爱因斯坦张量或类似的高导数张量,这些张量来自高斯-博内或洛夫洛克项的变化。在本文中,我们研究了n维静态黑洞解的热力学,在最简单的Horndeski耦合到爱因斯坦张量的情况下。我们应用沃尔德公式来计算黑洞的熵,并表明在标准沃尔德熵公式之外还有一个额外的贡献。额外的贡献可以归因于标量场行为的不寻常特征。我们还表明,计算欧几里得作用的常规正则化导致熵的表达式与沃尔德结果不一致。这似乎可能是由于减法过程中的歧义。我们还计算了对偶CFT中的粘度,结果表明,在适当选择参数的情况下,粘度/熵比可以突破η/S≥1/(4π)界。
Horndeski gravities are theories of gravity coupled to a scalar field, in which the action contains an additional non-minimal quadratic coupling of the scalar, through its first derivative, to the Einstein tensor or the analogous higher-derivative tensors coming from the variation of Gauss-Bonnet or Lovelock terms. In this paper we study the thermodynamics of the static black hole solutions in n dimensions, in the simplest case of a Horndeski coupling to the Einstein tensor. We apply the Wald formalism to calculate the entropy of the black holes, and show that there is an additional contribution over and above those that come from the standard Wald entropy formula. The extra contribution can be attributed to unusual features in the behaviour of the scalar field. We also show that a conventional regularisation to calculate the Euclidean action leads to an expression for the entropy that disagrees with the Wald results. This seems likely to be due to ambiguities in the subtraction procedure. We also calculate the viscosity in the dual CFT, and show that the viscosity/entropy ratio can violate the η/S≥ 1/(4π) bound for appropriate choices of the parameters.
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