Induced higher-derivative massive gravity on a 2-brane in 4D Minkowski space

Abstract

In this paper we revisit the problem of localizing gravity in a 2-brane embedded in a 4D Minkowski space to address induction of high derivative massive gravity. We explore the structure of propagators to find well-behaved higher-derivative massive gravity induced on the brane. Exploring a special case in the generalized mass term of the graviton propagator we find a model of consistent higher order gravity with an additional unitary massive spin-2 particle and two massless particles: one spin-0 particle and one spin-1 particle. The condition for the absence of tachyons is satisfied for both ‘right’ and ‘wrong’ signs of the Einstein–Hilbert term on the 2-brane. We also find the Pauli–Fierz mass term added to the new massive gravity in three dimensions and recover the low-dimensional DGP model.