A note on spin two fields in curved backgrounds
arXiv:gr-qc/0611157 · doi:10.1088/0264-9381/24/6/N01
Abstract
We reconsider the consistency constraints on a free massless symmetric, rank 2, tensor field in a background and confirm that they uniquely require it to be the linear deviation about (cosmological) Einstein gravity. Neither adding non-minimal higher derivative terms nor changing the gauge transformations by allowing terms non-analytic in the cosmological constant alters this fact.
5 pages - Minor misprints corrected - Version accepted by Class. Quant. Grav