English

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

High Energy Physics - Theory 2015-02-25 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1412.6866,
  title  = {Induced higher-derivative massive gravity on a 2-brane in 4D Minkowski space},
  author = {D. Bazeia and F. A. Brito and F. G. Costa},
  journal= {arXiv preprint arXiv:1412.6866},
  year   = {2015}
}

Comments

Latex, 12 pages, no figure; refs added, version to appear in PLB

R2 v1 2026-06-22T07:40:10.127Z