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2020

Weyl Scaling Invariant $R^2$ Gravity for Inflation and Dark Matter

Tang, Yong, Wu, Yue-Liang

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Inflation in the early universe can generate the nearly conformal invariant fluctuation that leads to the structures we observe at the present.

The simple viable Starobinsky $R^2$ inflation has an approximate global scale symmetry.
We study the conformal symmetric Weyl $\hat{R}^2$ and general $F(\hat{R})$ theories and demonstrate their equivalence to Einstein gravity coupled with a scalar and a Weyl gauge field.
The scalar field in Weyl $\hat{R}^2$ gravity can be responsible for inflation with Starobinsky model as the attractor, potentially distinguishable from the latter by future experiments.

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