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:
影响因子:
--
通讯作者:
Pope C. N.
中科院分区:
文献类型:
--
作者:
Feng Xing-Hui;Liu Hai-Shan;Lu H.;Pope C. N.
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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DOI:
10.1007/jhep02(2015)013
发表时间:
2014-11
期刊:
The Journal of High Energy Physics
影响因子:
--
作者:
Fan, Zhong-Ying;Lu, H.
通讯作者:
Lu, H.
DOI:
10.1007/jhep03(2015)165
发表时间:
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期刊:
The Journal of High Energy Physics
影响因子:
--
作者:
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通讯作者:
Wen Qiang
影响因子:
4.4
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通讯作者:
P. Benincasa;A. Buchel;R. Naryshkin
DOI:
10.1142/9789812384935_0005
发表时间:
1993-06
期刊:
Resonance
影响因子:
--
作者:
S. Hawking
通讯作者:
S. Hawking
影响因子:
5.4
作者:
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通讯作者:
P. Kovtun;D. Son;A. Starinets