Abstract
It is well known that one cannot apply a conformal transformation to gravity to obtain a minimally coupled scalar field model, and thus no Einstein frame exists for gravity. Furthermore nonminimally coupled “teleparallel dark energy models” are not conformally equivalent to gravity. However, it can be shown that gravity is conformally equivalent to a teleparallel phantom scalar field model with a nonminimal coupling to a boundary term only. In this work, we extend this analysis by considering a recently studied extended class of models, known as gravity, where is a boundary term related to the divergence of a contraction of the torsion tensor. We find that nonminimally coupled “teleparallel dark energy models” are conformally equivalent to either an or gravity model. Finally conditions on the functional form of gravity are derived to allow it to be transformed to particular nonminimally coupled scalar field models.
- Received 18 March 2016
DOI:https://doi.org/10.1103/PhysRevD.93.103002
© 2016 American Physical Society