Extended vector-tensor theories

Abstract

Recently, several extensions of massive vector theory in curved space-time have been proposed in many literatures. In this paper, we consider the most general vector-tensor theories that contain up to two derivatives with respect to metric and vector field. By imposing a degeneracy condition of the Lagrangian in the context of ADM decomposition of space-time to eliminate an unwanted mode, we construct a new class of massive vector theories where five degrees of freedom can propagate, corresponding to three for massive vector modes and two for massless tensor modes. We find that the generalized Proca and the beyond generalized Proca theories up to the quartic Lagrangian, which should be included in this formulation, are degenerate theories even in curved space-time. Finally, introducing new metric and vector field transformations, we investigate the properties of thus obtained theories under such transformations.

39 pages, 2 figures, v2: published in JCAP, v3: several references are added, v4: some typos are corrected

References in corpus (37)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Modified Gravity and Cosmology
• 4D Gravity on a Brane in 5D Minkowski Space
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• The galileon as a local modification of gravity
• Resummation of Massive Gravity
• Kinetically Driven Quintessence
• Generalized G-inflation: Inflation with the most general second-order field equations
• Generalization of the Fierz-Pauli Action
• From k-essence to generalised Galileons
• Covariant Galileon
• Healthy theories beyond Horndeski
• Strong Interactions and Stability in the DGP Model
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Classical and Quantum Consistency of the DGP Model
• Extended Scalar-Tensor Theories of Gravity
• Generalization of the Proca Action
• Mimetic Dark Matter
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• Modified gravity models of dark energy
• Derivative self-interactions for a massive vector field
• Hamiltonian analysis of higher derivative scalar-tensor theories
• Cosmology in generalized Proca theories
• Generalized Proca action for an Abelian vector field
• Healthy degenerate theories with higher derivatives
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Beyond generalized Proca theories
• Effective gravitational couplings for cosmological perturbations in generalized Proca theories
• Derivative-dependent metric transformation and physical degrees of freedom
• Ostrogradsky in Theories with Multiple Fields
• On the 4D generalized Proca action for an Abelian vector field
• A no-go theorem for generalized vector Galileons on flat spacetime
• Complete Decoupling Limit of Ghost-free Massive Gravity
• On the Potential for General Relativity and its Geometry
• Anisotropic cosmological solutions in massive vector theories
• On the stability and causality of scalar-vector theories

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• Dark Energy in light of Multi-Messenger Gravitational-Wave astronomy
• Beyond Lovelock gravity: Higher derivative metric theories
• Cosmological dynamics of mimetic gravity
• Recovering a MOND-like acceleration law in mimetic gravity
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• Black holes in vector-tensor theories
• Observational constraints on generalized Proca theories
• Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories
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• Ghost-free theories with arbitrary higher-order time derivatives
• Invertible disformal transformations with higher derivatives
• Stable solutions of inflation driven by vector fields
• Destabilization of black holes and stars by generalized Proca fields
• Neutron stars with a generalized Proca hair and spontaneous vectorization
• Cosmology in beyond-generalized Proca theories
• New Weyl-invariant vector-tensor theory for the cosmological constant
• New class of Proca interactions
• Spontaneous scalarization of black holes in the Horndeski theory
• Field redefinitions in theories beyond Einstein gravity using the language of differential forms
• Generalized disformal coupling leads to spontaneous tensorization
• Generalized SU(2) Proca theory reconstructed and beyond
• Vector disformal transformation of generalized Proca theory
• The Effective Field Theory of Vector-Tensor Theories
• An exact solution for a rotating black hole in modified gravity
• Constant-roll inflation in the generalized SU(2) Proca theory
• Coupled Multi-Proca Vector Dark Energy
• Non-trivial gravitational waves and structure formation phenomenology from dark energy
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• Instabilities in Horndeski Yang-Mills inflation
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• Disformal transformation of stationary and axisymmetric solutions in modified gravity
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• Quantum Stability of Generalized Proca Theories
• Cosmological implications of Rastall-$f(R)$ theory
• Suppression of matter couplings with a vector field in generalized Proca theories
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• On metric transformations with a $U(1)$ gauge field
• The Maxwell-Chern-Simons gravity and its cosmological implications
• Pervasiveness of the breakdown of self-interacting vector field theories
• Classifying Galileon $p$-form theories
• Gauge-ready formulation of cosmological perturbations in scalar-vector-tensor theories
• Odd-parity stability of hairy black holes in $U(1)$ gauge-invariant scalar-vector-tensor theories
• Sensitivity of third-generation interferometers to extra polarizations in the Stochastic Gravitational Wave Background
• Anisotropic Scalar Field Dark Energy with a Disformally Coupled Yang-Mills Field
• Conformally and Disformally Coupled Vector field Models of Dark Energy
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• Towards the extended SU(2) Proca theory
• Unveiling the inconsistency of the Proca theory with non-minimal coupling to gravity
• Ghost free boson-fermion co-existence system
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• Isotropic stellar model in mimetic theory
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
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• Ghost-free resummation of gravitational interactions of a 2-form gauge field
• Anisotropy in constraint 4D Gauss-Bonnet gravity
• Stellar structure in $f(R,T)$ gravity: some exact solutions
• Black holes in the quadratic-order extended vector-tensor theories
• Rotating black holes in valid vector-tensor theories after GW170817
• Ghost-free scalar-fermion interactions
• On constrained analysis and diffeomorphism invariance of generalised Proca theories
• Axionic extension of the Proca action
• On Lorentz-invariant spin-2 theories
• Effective field theory of coupled dark energy and dark matter
• Cosmology of the non-local Proca theory
• Exploring Self-Gravitating Cylindrical Structures in Modified Gravity: Insights from Scalar-Vector-Tensor Theory
• Quasinormal Modes from EFT of Black Hole Perturbations in Vector-Tensor Gravity
• Unique gravitational wave signatures of GLPV scalar-tensor theories
• Stealth black hole solutions in higher-order Maxwell-Einstein theories
• The intrinsic pathology of self-interacting vector fields