  The gauge-gravity duality can be used to relate connected multi-point
graviton functions to connected multi-point correlation functions of the stress
tensor of a strongly coupled fluid. Here, we show how to construct the
connected graviton functions for a particular kinematic regime that is ideal
for discriminating between different gravitational theories; in particular,
between Einstein theory and its leading-order string theory correction. Our
analysis begins with the one-particle irreducible graviton amplitudes in an
anti-de Sitter black brane background. We show how these can be used to
calculate the connected graviton functions and demonstrate that the two types
of amplitudes agree in some cases. It is then asserted on physical grounds that
this agreement persists in all cases for both Einstein gravity and its
leading-order correction. This outcome implies that the corresponding
field-theory correlation functions can be read directly off from the bulk
Lagrangian, just as can be done for the ratio of the shear viscosity to the
entropy density.
