Inflation in mimetic $f(R,T)$ gravity

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 $H(N)={\left(A\exp \beta N+B{\alpha }^N\right)}^{\gamma }$, $H(N)={\left(A{\alpha }^N+B\log N\right)}^{\gamma }$, and $H(N)={\left(A{e}^{\beta N}+B\log N\right)}^{\gamma }$, where $A$, $\beta$, $B$, $\alpha$, $\gamma$ 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 $f(R,T)=R+\chi T$, where $\chi$ 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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• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Cosmological Inflation in f(Q, T) Gravity
• Relativistic isotropic stellar model in $f(R,T)$ gravity with Durgapal- IV Metric
• Isotropic Buchdahl's relativistic fluid sphere within $f(R,T)$ gravity
• Structure formation in mimetic gravity
• Multi-field Mimetic Gravity
• Inflation with antisymmetric tensor field: new candidates
• Inflation using a triplet of Antisymmetric tensor fields
• Scalar and vector modes in inflation with antisymmetric tensor field
• White dwarf cooling in $f(R,T)$ gravity