Huang, QG (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
In de Rham-Gabadadze-Tolley (dRGT) massive gravity and bi-gravity, a non-minimal matter coupling involving both metrics generically reintroduces the Boulware-Deser (BD) ghost. A non-minimal matter coupling via a simple, yet specific composite metric has been proposed, which eliminates the BD ghost below the strong coupling scale. Working explicitly in the metric formulation and for arbitrary spacetime dimensions, we show that this composite metric is the unique consistent non-minimal matter coupling below the strong coupling scale, which emerges out of two diagnostics, namely, the absence of Ostrogradski ghosts in the decoupling limit and the absence of the BD ghost from matter quantum loop corrections. (C) 2015 The Authors. Published by Elsevier B.V.
DOE grant [DE-SC0009946, DE-SC0010600]
; STFC grant [ST/J001546/1]
; Perimeter Institute for Theoretical Physics
; Government of Canada through Industry Canada
; Province of Ontario through the Ministry of Economic Development Innovation
; NSFC [11322545, 11335012]