Abstract
Inflationary cosmology was the subject of an investigation in the [Formula: see text] gravity context, for which [Formula: see text] stands for the torsion scalar while [Formula: see text] is the trace of the energy–momentum tensor using three different class of inflation potentials well known in the literature. In order to find the range of geometry-matter coupling parameter to describe cosmological inflation scenario, we determined the slow-roll parameters and predict the scalar spectral index [Formula: see text], the tensor to scalar ratio [Formula: see text] and tensor spectral index [Formula: see text] in function in inflation potential parameters. The results show that the range of geometry-matter coupling parameter found is in agreement with the PLANCK 2018 data and WMAP data.
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