2011/07/18 by Yun Soo Myung, Myung, Yun Soo
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1107.3594
17 pages, no figures, and a reference added
arxiv created 2011/07/20 · arxiv updated 2011/07/22
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<m22<-2Λ/3, the scalar residue of a massive pole is given by 2/3 when taking the Λ→ 0 limit first and then the m22 → 0 limit. This indicates that the vDVZ discontinuity occurs in the higher curvature theory, showing that propagating degrees of freedom is decreased from 5 to 3. However, at the critical point of m22=-2Λ/3, the tensor residue of a massive pole blows up and scalar residue is -5/36, showing the unpromising feature of the critical gravity.