https://doi.org/10.1140/epjc/s10052-019-6836-y
Regular Article - Theoretical Physics
Palatini frames in scalar–tensor theories of gravity
Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-204, Wrocław, Poland
* e-mail: aleksander.kozak@ift.uni.wroc.pl
Received:
27
August
2018
Accepted:
1
April
2019
Published online:
13
April
2019
A new systematic approach extending the notion of frames to the Palatini scalar–tensor theories of gravity in various dimensions 
is proposed. We impose frame transformation induced by the group action which includes almost-geodesic and conformal transformations. We characterize theories invariant with respect to these transformations dividing them up into solution-equivalent subclasses (group orbits). To this end, invariant characteristics have been introduced. The formalism provides new frames incorporating non-metricity that lead to re-definition of Jordan frames. The case of Palatini F(R)-gravity is considered in more detail.
© The Author(s), 2019
