A note on gravity-scalar fluctuations in holographic RG flow geometries

We study five-dimensional gravity models with non-vanishing background scalar fields which are dual to non-conformal boundary field theories. We develop a procedure to decouple the graviton fluctuations from the scalar ones and apply it to the simplest case of one scalar field. The quadratic action for the decoupled scalar fluctuations has a very simple form and can be used to compute two-point functions. We perform this computation for the two examples of background RG flow recently considered by DeWolfe and Freedman and find physically reasonable results. [email protected] [email protected] [email protected] On leave of absence from Steklov Mathematical Institute, Gubkin str.8, GSP-1, 117966, Moscow, Russia