Inflationary cosmology in the modified f (R, T) gravity

In this work, we study the inflationary cosmology in modified gravity theory f (R, T) R + 2 lambda T (lambda is the modified gravity parameter) with three distinct classes of inflation potentials (i) phi(p)e(-alpha phi), (ii) (1 - phi(p))e(-alpha phi) and (iii) alpha phi(2)/1+alpha phi(2)where alpha, p are the potential parameters. We have derived the Einstein equation, potential slow-roll parameters, the scalar spectral index n(s), tensor-to-scalar ratio r and tensor spectral index n(T) in modified gravity theory. We obtain the range of lambda using the spectral index constraints in the parameter space of the potentials. Comparing our results with PLANCK 2018 data and WMAP data, we found out the modified gravity parameter lambda lies between -0.37 < lambda < 1.483.