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 BI-CEP2/Keck Array data. We present here three viable inflationary solutions of the Hubble parameter (H) represented by H(Nwhere 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.

The article communicates exploration of gravitational baryogenesis in presence of f (Q, T) gravity where Q denote the nonmetricity and T the trace of the energy momentum tensor. We study various baryogenesis interactions proportional toQ andQ f Q for the f (Q, T) gravity model f (Q, T) = α Q n+1 + βT , where α, β and n are model parameters. Additionally we report the viable parameter spaces for which an observationally consistent baryon-toentropy can be generated. Our results indicate that f (Q, T) gravity can contribute significantly and consistently to the phenomenon of gravitational baryognesis.

The paper presents late time cosmology in f (Q, T) gravity where the dark energy is purely geometric in nature. We start by employing a well motivated f (Q, T) gravity model, f (Q, T) = mQ n + bT where m, n and b are model parameters. Additionally we also assume the universe to be dominated by pressure-less matter which yields a power law type scale factor of the form a(t) = c2(At + c1) 1 A , where A = 3(8π + b) n(16π + 3b) and c1 & c2 are just integration constants. To investigate the cosmological viability of the model, constraints on the model parameters were imposed from the updated 57 points of Hubble data sets and 580 points of union 2.1 compilation supernovae data sets. We have thoroughly investigated the nature of geometrical dark energy mimicked by the parametrization of f (Q, T) = mQ n + bT with the assistance of statefinder diagnostic in {s, r} and {q, r} planes and also performed the Om-diagnostic analysis. The present analysis makes it clear-cut that f (Q, T) gravity can be promising in addressing the current cosmic acceleration and therefore a suitable alternative to the dark energy problem. Further studies in other cosmological areas are therefore encouraging to further investigate the viability of f (Q, T) gravity.

In the context of bouncing scenario in a four dimensional Friedmann-Lemaître-Robertson-Walker geometry, we address two bouncing cosmological model within f (R, T ) = R+2λT gravity formalism. The exact solution of f (R, T ) gravity field equations is obtained by employing some special kind of scale factors which provides two bouncing scenarios namely matter bounce and super bounce respectively. In addition we have studied the dynamical behavior of equation of state parameter and energy conditions for the models. We found an effective role of coupling parameter λ in obtaining bouncing scenario as compared to the parameters of the bouncing scale factors. PACS numbers: 04.50.kd In the paradigm of big bang cosmology, our universe emerged out of a singularity, is finite in time and space and is around 13.7 billion years young. Though the historic discovery of CMB

In this paper gravitational baryogenesis is studied by considering the simplest non-minimal matter geometry coupled f (R, T ) gravity theory where f (R, T ) = R + ζRT . Here, R represents Ricci scalar and T denote trace of the stress-energy-momentum tensor. We studied the viability of our model for different baryogenesis interactions proportional to ∂µR, ∂µT and ∂µf (R, T ). Further, we obtained baryon to entropy ratio in each case and put constraints on parameters spaces of our model. PACS numbers: 04.50.Kd; 98.80.-k; 98.80.Bp, 47.10.Fg II. OVERVIEW OF f (R, T ) GRAVITYThe late time cosmic acceleration of the universe has been explored and explained by many alternate models of classical or quantum gravity [3]. One of the most interesting theories of modified gravity is the f (R, T ) gravity. This theory is built on the coupling between matter and geometry. f (R, T ) theory can distinguish between diverse gravitational models due to its fascinating features and consistency with observations. f (R, T ) gravity models can explain the transition from matter dominated phase to the late dark energy dominated phase [25]. The gravitational Lagrangian in f (R, T ) gravity is a generic function of the Ricci scalar curvature R and the trace of stress-energy- *