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

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 sho...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2020-07, Vol.2020 (7), p.3-3, Article 003
Main Authors: Borowiec, A., Kozak, A.
Format: Article
Language:English
Subjects:
Conformal mapping
Formalism
Scalars
Tensors
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Summary: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 [1]. 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.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2020/07/003