Palatini frames in scalar–tensor theories of gravity

Aleksander Kozak (Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, Wrocław, 50-204, Poland) ; Andrzej Borowiec (Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, Wrocław, 50-204, Poland)

A new systematic approach extending the notion of frames to the Palatini scalar–tensor theories of gravity in various dimensions $$n>2$$ n>2 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.

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Published on:
13 April 2019
Publisher:
Springer
Published in:
European Physical Journal C , Volume 79 (2019)
Issue 4
Pages 1-18
DOI:
https://doi.org/10.1140/epjc/s10052-019-6836-y
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: