“School of Physic”

Back to Papers Home
Back to Papers of School of Physic

Paper   IPM / Physic / 17760
School of Physics
  Title:   Two-dimensional (bi-)scalar gravities from four-dimensional Horndeski
1.  M.H. Vahidinia
2.  M. Shams Nejati
  Status:   Preprint
  Year:  2024
  Supported by:  IPM
We develop a classical two-dimensional bi-scalar gravity based on the Kaluza-Klein reduction applied to the four-dimensional Horndeski theory. One of the scalar fields arises from the original four-dimensional theory, while the extra scalar emerges from the reduction process. We also introduce a two-dimensional bi-scalar identity that allows for a more concise and elegant reformulation of the resulting bi-scalar Lagrangian. Additionally, we study the linear perturbations around a static background to demonstrate that the bi-scalar theory may support a single healthy propagating mode. Furthermore, by restricting the scalar fields, we investigate a general single scalar theory that is identical to the two-dimensional Horndeski theory up to a boundary term. Our results provide a framework to map a generic two-dimensional dilaton gravity into four-dimensional Horndeski theory.

Download TeX format
back to top
scroll left or right