New class of hybrid metric-Palatini scalar-tensor theories of gravity

Autor: Borowiec, Andrzej, Kozak, Aleksander
Rok vydání: 2020
Předmět:
Zdroj: JCAP07(2020)003
Druh dokumentu: Working Paper
DOI: 10.1088/1475-7516/2020/07/003
Popis: A class of scalar-tensor theories (STT) including a non-metricity that unifies metric, Palatini and hybrid metric-Palatini gravitational actions with non-minimal interaction is proposed and investigated from the point of view of their consistency with generalized conformal transformations. It is shown that every such theory can be represented on-shell by a purely metric STT possessing the same solutions for a metric and a scalar field. A set of generalized invariants is also proposed. This extends the formalism previously introduced in \cite{kozak2019}. We then apply the formalism to Starobinsky model, write down the Friedmann equations for three possible cases: metric, Palatini and hybrid metric-Palatini, and compare some inflationary observables.
Comment: 34 pages in LaTeX, comments and references added, final version published in JCAP
Databáze: arXiv