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

TL;DR

This paper investigates the localization of gravity on a 2-brane in 4D Minkowski space, deriving a consistent higher-derivative massive gravity model with additional particles and analyzing its stability and particle content.

Contribution

It introduces a novel higher-derivative massive gravity model on a 2-brane, including a detailed analysis of propagators and particle spectrum, extending previous brane-world gravity theories.

Findings

Identified a well-behaved higher-derivative massive gravity with additional particles.

Established conditions for absence of tachyons for different Einstein-Hilbert sign choices.

Recovered the low-dimensional DGP model and incorporated Pauli-Fierz mass term.

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.