Scalar-Vector-Tensor Gravity Theories

Abstract

We construct the consistent ghost-free covariant scalar-vector-tensor gravity theories with second order equations of motion with derivative interactions. We impose locality, unitarity, Lorentz invariance and pseudo-Riemannian geometry as the fundamental terms. In the tensor sector we require diffeomorphism invariance, whereas we allow the vector sector to be gauge invariant or not. The resulting Lagrangians consist of new genuine couplings among these fields with at most two derivatives per field. They propagate five physical degrees of freedom in the gauge invariant case and six degrees of freedom if the gauge invariance is broken. In the corresponding limit of the free general functions in the Lagrangian, one recovers the generalized Proca theories. These scalar-vector-tensor theories will have important implications for cosmological and astrophysical applications, among which we mention the application to inflation and generation of primordial magnetic fields, new black hole and neutron star solutions, dark matter and dark energy.

5 pages, formulations improved and references added

References in corpus (12)

• Black holes in vector-tensor theories
• Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
• Generalized SU(2) Proca Theory
• Generalized multi-Proca fields
• Static and rotating solutions for Vector-Galileon theories
• Cosmologies in Horndeski's second-order vector-tensor theory
• Anisotropic cosmological solutions in massive vector theories
• A scenario for inflationary magnetogenesis without strong coupling problem
• On the stability and causality of scalar-vector theories
• Cosmology in scalar-vector-tensor theories
• Non-Abelian $S$-term dark energy and inflation
• Hairy black hole solutions in $U(1)$ gauge-invariant scalar-vector-tensor theories

Cited by in corpus (51)

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• Gravitational wave memory beyond general relativity
• Metric-Affine Gravity and Cosmology/Aspects of Torsion and non-Metricity in Gravity Theories
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• Generalized SU(2) Proca theory reconstructed and beyond
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• Cosmology of Extended Proca-Nuevo
• Horndeski under the quantum loupe
• One-loop renormalization in Galileon effective field theory
• Peculiar thermal states in the first-order thermodynamics of gravity
• Quantum Stability of Generalized Proca Theories
• Role of matter in gravitation: going beyond the Einstein-Maxwell theory
• Geometrized quantum Galileons
• Gauge-ready formulation of cosmological perturbations in scalar-vector-tensor theories
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• Anisotropic Scalar Field Dark Energy with a Disformally Coupled Yang-Mills Field
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• Generalised Proca Theories in Teleparallel Gravity
• Towards the extended SU(2) Proca theory
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• Loss of hyperbolicity and tachyons in generalized Proca theories
• Inflation driven by massive vector fields with derivative self-interactions
• Probing the H0 Tension with Holographic Dark Energy in Unimodular Gravity: Insights from DESI DR2
• Aether scalar tensor theory: Hamiltonian Formalism
• To Half--Be or Not To Be?
• Tracking the validity of the quasi-static and sub-horizon approximations in modified gravity
• On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
• Stellar structure in $f(R,T)$ gravity: some exact solutions
• Inflation with mixed helicities and its observational imprint on CMB
• Realizing the phantom-divide crossing with vector and scalar fields
• Inflation in a scalar-vector-tensor theory
• Screening fifth forces in scalar-vector-tensor theories
• Hairy black holes in extended Einstein-Maxwell-scalar theories with magnetic charge and kinetic couplings
• Even-parity stability of hairy black holes in $U(1)$ gauge-invariant scalar-vector-tensor theories
• Dynamical Shortcomings in the Generalized SU(2) Proca Theory: Challenges for Cosmic Acceleration
• An effective fluid description of scalar-vector-tensor theories under the sub-horizon and quasi-static approximations
• Linear perturbations of dyonic black holes in the lowest-order $U(1)$ gauge-invariant scalar-vector-tensor theories
• Bouncing cosmologies from Born-Infeld-type gravity
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Accelerated expansion as manifestation of gravity: when Dark Energy belongs to the left