Mass generation with Gauss-Bonnet term : No van Dam-Veltman-Zakharov discontinuity in AdS space

We prove that in anti de Sitter space, there is no van Dam-Veltman-Zakharov discontinuity in the graviton propagator. Here we obtain the mass term of $M^2\propto {\mathrm{\Lambda }}^2$ from the Gauss-Bonnet term, which is a ghost-free one. The condition that the massless limit is smooth is automatically satisfied for this case.