Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model [CL]

http://arxiv.org/abs/2010.03861


In this work, we studied the slow-roll approximation of cosmic inflation within the context of $f(R,T)$ gravity, where $R$ is the scalar curvature, and $T$ is the trace of the energy-momentum tensor. By choosing a minimal coupling between matter and gravity, we obtained the modified slow-roll parameters, the scalar spectral index ($n_s$), the tensor spectral index ($n_T$), and the tensor-to-scalar ratio ($r$). We computed these quantities for a general power-law potential, Natural & Quartic Hilltop inflation, and the Starobinsky model, plotting the trajectories on the $(n_s,r)$ plane. We found that one of the parameters of Natural/Hilltop models is non-trivially modified. Besides, if $-0.5<\alpha<5.54$, we concluded that the Starobinsky-like model predictions are in good agreement with the last Planck measurement, but allowing a wide range of admissible values for $r$ and $n_T$.

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M. Gamonal
Fri, 9 Oct 20
57/64

Comments: 20 pages, 3 figures, 1 table. Submitted to Phys. Dark Universe