Critical gravity as van Dam-Veltman-Zakharov discontinuity in anti de Sitter space

Understand

We consider critical gravity as van Dam-Vletman-Zakharov (vDVZ) discontinuity in anti de Sitter space.

• For this purpose, we introduce the higher curvature gravity.
• This discontinuity can be confirmed by calculating the residues of relevant poles explicitly.
• For the non-critical gravity of $0<m_2^2<-2\Lambda/3$, the scalar residue of a massive pole is given by 2/3 when taking the $\Lambda \to 0$ limit first and then the $m^2_2 \to 0$ limit.