No Van Dam-Veltman-Zakharov Discontinuity in Ads Space

Abstract

We prove that the van Dam-Veltman-Zakharov discontinuity arising in the massless limit of massive gravity theories is peculiar to Minkowski space and it is not present in Anti De Sitter space, where the massless limit is smooth. More generally, the massless limit is smooth whenever the square of the graviton mass vanishes faster than the cosmological constant.

A few misprints corrected, two references added. To be published in Phys. Lett. B, 7 pages, Latex2e

Cited by in corpus (141)

• Beyond the Cosmological Standard Model
• Generalization of the Fierz-Pauli Action
• Massive Gravity
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Strong Interactions and Stability in the DGP Model
• Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
• Ghost-free Massive Gravity with a General Reference Metric
• An introduction to the Vainshtein mechanism
• On Non-Linear Actions for Massive Gravity
• Partial Masslessness of Higher Spins in (A)dS
• Massive Islands
• Spinning AdS Propagators
• The Accelerated Universe and the Moon
• Nonlocal action for long-distance modifications of gravity theory
• Effective Lagrangians and Universality Classes of Nonlinear Bigravity
• Recent developments in bimetric theory
• Scales of Gravity
• Ghosts in the self-accelerating universe
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Braneworld Models of Scalar Fields with Generalized Dynamics
• Acausality of Massive Gravity
• Current Exchanges and Unconstrained Higher Spins
• Cosmological perturbations in Massive Gravity and the Higuchi bound
• Fully Covariant Van Dam-Veltman-Zakharov Discontinuity, and Absence Thereof
• On massive spin 2 interactions
• Spherically symmetric spacetimes in massive gravity
• Universal Limits on Massless High-Spin Particles
• Quantum Corrections in Massive Gravity
• f(R)-Brane
• Gravity localization on thick branes: a numerical approach
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Gravity from self-interaction redux
• Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space
• On the cubic interactions of massive and partially-massless higher spins in (A)dS
• Massive Gravity on de Sitter and Unique Candidate for Partially Massless Gravity
• Lorentz Breaking Massive Gravity in Curved Space
• Softly Massive Gravity
• Mass and Gauge Invariance IV (Holography for the Karch-Randall Model)
• Braneworld solutions for F(R) models with non-constant curvature
• Massive Higher Derivative Gravity in D-dimensional Anti-de Sitter Spacetimes
• Graviton Mass or Cosmological Constant?
• Cosmic Strings in a Braneworld Theory with Metastable Gravitons
• Holographic Domains of Anti-de Sitter Space
• Locally Localized Gravity and Geometric Transitions
• Schwarzschild solution in brane induced gravity
• Perturbations of Self-Accelerated Universe
• On the infrared limit of Horava's gravity with the global Hamiltonian constraint
• Multigravity in six dimensions: Generating bounces with flat positive tension branes
• (A)dS exchanges and partially-massless higher spins
• Quantum Effects in Softly Broken Gauge Theories in Curved Space-Times
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• All unitary cubic curvature gravities in D dimensions
• Finite-Range Gravity and Its Role in Gravitational Waves, Black Holes and Cosmology
• Partially Massless Spin 2 Electrodynamics
• Multi-Localization in Multi-Brane Worlds
• Quantum discontinuity between zero and infinitesimal graviton mass with a Lambda term
• Massive Anti-de Sitter Gravity from String Theory
• Quantum Gates to other Universes
• Ghost-free braneworld bigravity
• Wave Function of the Radion in the dS and AdS Brane Worlds
• Covariant constraints for generic massive gravity and analysis of its characteristics
• On brane-induced gravity in warped backgrounds
• Consistent massive graviton on arbitrary backgrounds
• Polarization states of gravitational waves with a massive graviton
• Pauli-Fierz Gravitons on Friedmann-Robertson-Walker Background
• Complementarity of the Maldacena and Karch-Randall Pictures
• Stability of the de Sitter spacetime in Horava-Lifshitz theory
• Stability of the Early Universe in Bigravity Theory
• Radion in Multibrane World
• Tunneling into Extra Dimension and High-Energy Violation of Lorentz Invariance
• On covariant long-distance modifications of Einstein theory and strong coupling problem
• Quantum M^2 -> 2Lambda/3 discontinuity for massive gravity with a Lambda term
• Twinlike models for kinks and compactons in flat and warped spacetime
• A Universal Bound on the Strong Coupling Scale of a Gravitationally Coupled Massive Spin-2 Particle
• The holographic dual of a Hawking pair has a wormhole
• Partially Massless Graviton on Beyond Einstein Spacetimes
• On the (A)dS Decoupling Limits of Massive Gravity
• Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with Extra Dimensions
• Revamped Braneworld Gravity
• Massive supermultiplets with spin 3/2
• Spin-2 and the Weak Gravity Conjecture
• Gravitational Mechanisms to Self-Tune the Cosmological Constant: Obstructions and Ways Forward
• Braneworld solutions from scalar field in bimetric theory
• On Partially Massless Theory in 3 Dimensions
• Cosmological perturbations of brane-induced gravity and the vDVZ discontinuity on FLRW space-times
• Non-compact nonlinear sigma models
• A Scale-up of Lambda_3
• The Cosmological Constant as an Eigenvalue of a Sturm-Liouville Problem and its Renormalization
• Quantum Aspects of Massive Gravity
• The ${\Lambda }_2$ limit of massive gravity
• Effective Lagrangian from Higher Curvature Terms: Absence of vDVZ Discontinuity in AdS Space
• Spectra, vacua and the unitarity of Lovelock gravity in D-dimensional AdS spacetimes
• Construction of topological defect networks with complex scalar fields
• On Scherk-Schwarz mechanism in gauged five-dimensional supergravity and on its relation to bigravity
• Note on the Gauss-Bonnet braneworld scenario
• Massive Gravity in de Sitter Space via Gravitational Higgs Mechanism
• Graviton and scalar propagations on AdS(4) space in f(R) gravities
• Multi-String Theories, Massive Gravity and the AdS/CFT Correspondence
• Quantum Discontinuity for Massive Spin 3/2 with a Lambda Term
• On Instability of Certain Bi-Metric and Massive-Gravity Theories
• Unparticles as the Holographic Dual of Gapped AdS Gravity
• Holography of information in massive gravity using Dirac brackets
• Is there vacuum when there is mass? Vacuum and non-vacuum solutions for massive gravity
• Cosmology in massive gravity with effective composite metric
• Linearized Gravity in the Karch-Randall Braneworld
• Inflaton perturbations in brane-world cosmology with induced gravity
• Heat kernel coefficients for massive gravity
• 4D gravity on a non-BPS bent dilatonic brane
• Duality of boundary value problems and braneworld action in curved brane models
• Massive Gravity from Higher Derivative Gravity with Boundary Conditions
• Gravitomagnetism in Massive Gravity
• Multigravity and Space Time Foam
• Violation of Angular Momentum Selection Rules in Quantum Gravity
• Binary AdS black holes coupled to a bath in Type IIB
• Newtonian Counterparts of Spin 2 Massless Discontinuities
• Resolving the vDVZ and Strong Coupling Problems in Massive Gravity and Bigravity
• Trace Anomaly Inflation in Brane Induced Gravity
• Scattering in Topologically Massive Gravity, Chiral Gravity and the corresponding Anyon-Anyon Potential Energy
• Anisotropic Extra Dimensions
• Massive to gauge field reduction and gravitational wave zone information
• A Note on the Cosmological Dynamics in Finite-Range Gravity
• Superluminality in the Fierz--Pauli massive gravity
• Resolving Puzzles of Massive Gravity with and without violation of Lorentz symmetry
• Holographic Mutual Information of Two Disjoint Spheres
• On the Quantization of the Higher Spin Fields
• Self-T-Dual Brane Cosmology and the Cosmological Constant Problem
• de Sitter Branes in a Flat Bulk of Massive Gravity
• A Closer Look at Two $Ad{S}_4$ Branes in an $Ad{S}_5$ Bulk
• Linearized Lorentz-Violating Gravity and Discriminant Locus in the Moduli Space of Mass Terms
• The path integral measure, constraints and ghosts for massive gravitons with a cosmological constant
• Inflation and late time acceleration designed by Stueckelberg massive photon
• The Radion in the Karch-Randall Braneworld
• Field theoretical approach to gravitational waves
• Cosmology in warped massive gravity
• Brane structure from a scalar field in general covariant Horava-Lifshitz gravity
• Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons
• Unitarity and Different Phases of the Extended New Massive Gravity
• Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution
• Absence of the Higuchi bound in a family of alternative linear massive spin-2 models