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2022

Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term

Chen, Che-Yu, Reyimuaji, Yakefu, Zhang, Xinyi

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We consider slow-roll inflationary models in a class of modified theories of gravity which contains non-minimal curvature-inflaton couplings, i.e., the $f(R,T)$ gravity, where $R$ is the Ricci scalar and $T$ is the trace of the inflaton energy-momentum tensor.

On top of the minimally coupled $T$ that has been widely investigated in the literature, we further include a $RT$ mixing term in the theory.
This mixing term introduces non-minimal derivative couplings and plays an important role in inflationary dynamics.
Taking chaotic and natural inflation as examples, we find that the predictions for spectral tilt and the tensor-to-scalar ratio are sensitive to the existence of the $RT$ mixing term.