AdS waves of the four and six-drivative gravity models

摘要

In this paper we investigate AdS waves in the R-3 extension of new massive gravity. We show that R-3 - NMG admit the geometries with the Schrodinger isometry group. When we approach the critical point of the parameter space, solution with logarithmic fall-off arise. Then we extend our work to the three-dimensional tricritical gravity. The equation of motion of AdS wave in this case is a six-derivative differential equation. We decompose this equation as a coupled massive wave equation and a one massless wave equation. It is interesting that in tricritical point when both of the massive wave solutions become massless wave, we obtain the solution with logarithmic-squared behavior.