Higher Derivative Corrections to Locally Black Brane Metrics

Understand

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.