Abstract
In this paper, we employ mimetic f(R,T) gravity coupled with Lagrange multiplier and mimetic potential to yield viable inflationary cosmological solutions consistent with latest Planck and BICEP2/Keck Array data. We present here three viable inflationary solutions of the Hubble parameter (H) represented by H(N)=(AexpβN+BαN)γ, H(N)=(AαN+BlogN)γ, and H(N)=(AeβN+BlogN)γ, where A, β, B, α, γ are free parameters, and N represents the number of e-foldings. We carry out the analysis with the simplest minimal f(R,T) function of the form f(R,T)=R+χT, where χ is the model parameter. We report that for the chosen f(R,T) gravity model, viable cosmologies are obtained compatible with observations by conveniently setting the Lagrange multiplier and the mimetic potential.
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