Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 7, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2020/07/003
Keywords
modified gravity; inflation
Funding
- Polish National Science Center (NCN) [UMO2017/27/B/ST2/01902]
- COST (European Cooperation in Science and Technology) [CA15117]
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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.
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