Novel nonlinear kinetic terms for gravitons

2015/08/31 by Wenliang Li
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Classical mechanics #Computer science #Context (archaeology) #Cosmology and Gravitation Theories #Curvature #Derivative (finance) #Geometry #Gravitation #Graviton #Mathematical physics #Mathematics #Minisuperspace #Nonlinear system #Physics #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Quantum mechanics #Theoretical physics #Wedge (geometry) #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.94.064078

published as Phys. Rev. D 94, 064078 (2016) · 19 pages, two columns, v3.1; a reference is added

openalex publication_date 2016/09/30 · arxiv created 2017/10/19 · arxiv updated 2017/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 bigravity. Based on a minisuperspace analysis, we identify a large class of bigravity 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 bigravity models involving novel derivative terms. This is related to the fact that this class of models contains spin-2 ghosts. In addition, we discuss the UV cutoff scales, dynamical symmetric conditions, and novel higher-derivative terms.

Citations

• Counting the degrees of freedom of generalized Galileons
• Unifying Ghost-Free Lorentz-Invariant Lagrangians
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Ghosts and matter couplings in massive gravity, bigravity and multigravity
• Stability of gravity with a cosmological constant
• Nonlinear dynamics of 3D massive gravity
• Mach's Principle and a Relativistic Theory of Gravitation
• On couplings to matter in massive (bi-)gravity
• Note on new massive gravity inAdS3
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Chiral gravity in three dimensions
• Theoretical Aspects of Massive Gravity
• Second-order scalar-tensor field equations in a four-dimensional space
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Interacting string multi-verses and holographic instabilities of massive gravity
• Bimetric gravity from ghost-free massive gravity
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Ghost-free massive gravity with a general reference metric
• Resummation of Massive Gravity
• Generalization of the Fierz-Pauli Action
• Instability in cosmological topologically massive gravity at the chiral point
• Renormalization of higher-derivative quantum gravity
• The galileon as a local modification of gravity
• Gravitational Energy in Quadratic-Curvature Gravities
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Screening fifth forces in generalized Proca theories
• Covariant Galileon
• Massive Gravity
• The large N limit of superconformal field theories and supergravity
• Topologically massive gauge theories