Novel nonlinear kinetic terms for gravitons

Abstract

A set of novel derivative terms for spin-2 fields are proposed. They are the wedge products of curvature two-forms and vielbeins. In this work, we investigate the properties of novel two-derivative terms in the context of bi-gravity. Based on a minisuperspace analysis, we identify a large class of bi-gravity models where the Boulware-Deser ghost could be absent. We give a new perspective that Weyl Gravity and New Massive Gravity belong to this class of bi-gravity models involving novel derivative terms. In addition, we discuss the UV cut-off scales, dynamical symmetric conditions and novel higher-derivative terms.

19 pages, two columns, v3.1; a reference is added

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Cited by in corpus (6)

• Lovelock gravities from Born-Infeld gravity theory
• Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
• On nonlocally interacting metrics, and a simple proposal for cosmic acceleration
• Teleparallel bigravity
• On the absence of the Boulware-Deser ghost in novel graviton kinetic terms
• A unifying framework for ghost-free Lorentz-invariant Lagrangian field theories