Higher derivative SVT theories from Kaluza-Klein reductions of Horndeski theory
arXiv:2408.04626 · doi:10.1103/PhysRevD.111.024028
Abstract
It was recently pointed out that some precise Photon-Galileon couplings in four dimensions (4D) -- inspired by a higher dimensional reduction -- are enough to obtain a Horndeski theory that is less constrained by the stringent experimental bounds on the speed of Gravitational Waves. They imply the constancy of the ratio of speed of gravity to light throughout cosmic evolution. This holds even if we include the general scalar potentials and . In this paper we go into the details of this 4D Luminal extension of Horndeski theory including its scalar sector. We also present the complete action including the general scalar potentials. Thus we show all the gauge invariant vector Galileons in 4D that result from a Kaluza-Klein dimensional reduction from 5D Horndeski. They provide a {\it consistent} coupling of a higher derivative vector to scalar modifications of gravity -- namely, without inducing Ostrogradsky ghosts and keeping gauge invariance -- in the aim to explore more universal couplings of dark energy to other matter, such as vectors and in particular the Photon.
arXiv comment23 pages. Matches version in PRD. Results unchanged
References in corpus (46)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- The galileon as a local modification of gravity
- From k-essence to generalised Galileons
- Dark Energy after GW170817: dead ends and the road ahead
- Strong constraints on cosmological gravity from GW170817 and GRB 170817A
- Dark Energy after GW170817 and GRB170817A
- Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Horndeski theory and beyond: a review
- General second order scalar-tensor theory, self tuning, and the Fab Four
- An introduction to the Vainshtein mechanism
- Vector Inflation
- G-Bounce
- DBI and the Galileon reunited
- The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
- Speed of Gravitational Waves and the Fate of Scalar-Tensor Gravity
- Generic instabilities of non-singular cosmologies in Horndeski theory: a no-go theorem
- The Effective Field Theory of nonsingular cosmology
- Effective theory for the Vainshtein mechanism from the Horndeski action
- Generalized Galileons: instabilities of bouncing and Genesis cosmologies and modified Genesis
- Galileons from Lovelock actions
- A cosmic vector for dark energy
- Vector theories in cosmology
- Stability of Geodesically Complete Cosmologies
- A covariant Lagrangian for stable nonsingular bounce
- Weakly Broken Galileon Symmetry
- Generalizing Galileons
- The Effective Field Theory of nonsingular cosmology: II
- Cosmological bounce and Genesis beyond Horndeski
- Covariant multi-galileons and their generalisation
- Hidden Negative Energies in Strongly Accelerated Universes
- A no-go theorem for generalized vector Galileons on flat spacetime
- Generalized multi-Galileons, covariantized new terms, and the no-go theorem for non-singular cosmologies
- Aspects of Galileon Non-Renormalization
- Cosmological bounces and Lorentzian wormholes in Galileon theories with an extra scalar field
- Nonsingular cosmological models with strong gravity in the past
- More about wormholes in generalized Galileon theories
- Closed Timelike Curves in the Galileon Model
- The role of vector fields in modified gravity scenarios
- Reviving Horndeski after GW170817 by Kaluza-Klein compactifications
- Stable cosmological solutions in Horndeski theory
- Stability of nonsingular cosmologies in Galileon models with torsion. A no-go theorem for eternal subluminality
- The Stringy Origins of Galileons and their Novel Limit
- Healthy Horndeski cosmologies with torsion
- Galileon-like vector fields
- Two-dimensional (bi-)scalar gravities from four-dimensional Horndeski