https://doi.org/10.1140/epjp/s13360-021-01133-4
Regular Article
Generalised Proca theories in teleparallel gravity
1
Institute for Theoretical Physics, University of Amsterdam, 1090 GL, Amsterdam, The Netherlands
2
Institute of Space Sciences and Astronomy, University of Malta, Msida, Malta
3
Department of Physics, University of Malta, Msida, Malta
4
Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece
Received:
28
December
2020
Accepted:
17
January
2021
Published online:
8
February
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
