On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
arXiv:2106.14960 · doi:10.3390/universe7060190
Abstract
We prove that vector fields described by the generalized Proca class of theories do not admit a consistent coupling to a gravitational sector defined by a scalar-tensor theory of the degenerate type. Under the assumption that there exists a frame in which the Proca field interacts with gravity only through the metric tensor, our analysis shows that at least one of the constraints associated with the degeneracy of the scalar-tensor sector is inevitably lost whenever the vector theory includes a coupling to the Christoffel connection.
18 pages. Contribution to special issue of the journal Universe
References in corpus (12)
- Covariant Galileon
- Healthy theories beyond Horndeski
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Horndeski theory and beyond: a review
- Exploring gravitational theories beyond Horndeski
- Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
- Selected topics in scalar-tensor theories and beyond
- Hamiltonian structure of scalar-tensor theories beyond Horndeski
- Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
- Observational signatures of the theories beyond Horndeski
- On the screening mechanism in DHOST theories evading gravitational wave constraints
- Vainshtein screening for slowly rotating stars