Metric-affine gravity and inflation

Keigo Shimada, Katsuki Aoki, Kei Ichi Maeda

研究成果: Article査読

38 被引用数 (Scopus)

抄録

We classify the metric-affine theories of gravitation, in which the metric and the connections are treated as independent variables, by use of several constraints on the connections. Assuming the Einstein-Hilbert action, we find that the equations for the distortion tensor (torsion and non-metricity) become algebraic, which means that those variables are not dynamical. As a result, we can rewrite the basic equations in the form of Riemannian geometry. Although all classified models recover the Einstein gravity in the Palatini formalism (in which we assume there is no coupling between matter and the connections), but when matter field couples to the connections, the effective Einstein equations include an additional hyper energy-momentum tensor obtained from the distortion tensor. Assuming a simple extension of a minimally coupled scalar field in metric-affine gravity, we analyze an inflationary scenario. Even if we adopt a chaotic inflation potential, certain parameters could satisfy observational constraints. Furthermore, we find that a simple form of Galileon scalar field in metric-affine could cause G-inflation.

本文言語English
論文番号104020
ジャーナルPhysical Review D
99
10
DOI
出版ステータスPublished - 2019 5 15

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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