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Inflation in mimetic f(R,T) gravity

Institution:	1. Department of Applied Mathematics, University of Western Ontario, London, ON, N6A 5B7, Canada;2. Department of Physics & Astronomy, University of Western Ontario, London, ON, N6A 3K7, Canada;1. Department of Physical Science and Technology, Kunming University, Kunming 650214, China;2. Department of Astronomy, Yunnan University, Kunming 650091, China;1. Department of Space Sciences and Technologies, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, Terzio?lu Kampüsü, Çanakkale TR-17020, Turkey;2. Department of Physics, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, Terzio?lu Kampüsü, Çanakkale TR-17020, Turkey;3. Çanakkale Onsekiz Mart University, Astrophysics Research Centre and Ulup?nar Observatory, Çanakkale TR-17020, Turkey;1. Astronomy and Astrophysics Research Group, Department of Physics and Astronomy, University of Nigeria, Nsukka, Nigeria;2. Department of Physics and Astronomy, Faculty of Physical sciences, University of Nigeria, Nsukka, Nigeria;1. School of Physics and Mechanical & Electrical Engineering, Hubei University of Education, Wuhan 430205, China;2. Research Center for Astronomy, Hubei University of Education, Wuhan 430205, China;3. Institute of Astrophysics, Central China Normal University, Wuhan 430079, China

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 $H (N) = {(A \exp β N + B α^{N})}^{γ}$ , $H (N) = {(A α^{N} + B \log N)}^{γ}$ , and $H (N) = {(A e^{β N} + B \log N)}^{γ}$ , 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 $f (R, T) = R + χ T$ , 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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