Higher Derivative Corrections to Locally Black Brane Metrics

Details Higher Derivative Corrections to Locally Black Brane Metrics Higher Derivative Corrections to Locally Black Brane Metrics

2008-04-15

arxiv.org/abs/0804.2453v1

JHEP0805:082,2008

Physics

High Energy Physics

High Energy Physics - Theory

0+17 pages

Scientific paper

10.1088/1126-6708/2008/05/082

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 $\alpha'$) as a toy example. We find the solution to the $\alpha'$ corrected Einstein equations to first order in the boundary derivative expansion. This allows us to find the $\alpha'$ 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.

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