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arXiv · 1412.6866

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

D. Bazeia·F. A. Brito·F. G. Costa
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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.

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D. Bazeia, F. A. Brito, F. G. Costa. 2015-01-31. Induced higher-derivative massive gravity on a 2-brane in 4D Minkowski space. https://doi.org/10.1016/j.physletb.2015.01.051

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