New reflections on higher dimensional linearized gravity

Abstract

We make a number of remarks on linearized gravity with cosmological constant in any dimension, which we argue, can be useful in a quantum gravity framework. For this purpose we assume that the background space-time metric corresponds to the de Sitter or anti-de Sitter space. Moreover, we make some interesting observations, putting special attention on the possible scenario of  a graviton-tachyon connection, via the graviton mass and the cosmological constant correspondence. We compare our proposed formalism with the Novello and Neves approach.