论文标题

新的杂交公制 - 帕拉蒂尼标量标量理论的重力理论

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

论文作者

Borowiec, Andrzej, Kozak, Aleksander

论文摘要

一类标量调整理论(STT)包括统一度量,Palatini和杂交度量公制的重力引力作用,并从其与普遍的整体变换的一致性的角度进行了研究。结果表明,每个这样的理论都可以通过具有相同解决方案的公制和标量场的纯度stt来表示。还提出了一组广义不变的。这扩展了先前在\ cite {kozak2019}中引入的形式主义。然后,我们将形式主义应用于Starobinsky模型,写下三种可能情况的Friedmann方程:公制,Palatini和Hybrid Metric-Palatini,并比较一些通货膨胀可观察到的。

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.

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