Generalised Proca theories in teleparallel gravity

Generalised Proca theories of gravity represent an interesting class of vector-tensor theories where only three propagating degrees of freedom are present. In this work, we propose a new teleparallel gravity analog to Proca theories where the generalised Proca framework is extended due to the lower-order nature of torsion-based gravity. We develop a new action contribution and explore the example of the Friedmann equations in this regime. We find that teleparallel Proca theories offer the possibility of a much larger class of models in which do have an impact on background cosmology.

Automated summary

The study introduces a new teleparallel gravity analog to Proca theories by extending the generalised Proca framework due to the lower-order nature of torsion-based gravity. It explores the possibility of a much larger class of teleparallel Proca theories models that do have an impact on background cosmology, as demonstrated by the example of the Friedmann equations in this regime.