Inflation in 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 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.

Inflation in f(R,T) gravity with Double-Well potential

“…Inflation has been the most accepted theory for describing the primordial universe. In recent work, inflation has been studied in the frame work of f(R,T) gravity with different potentials like quadratic potential, natural, hilltop potential and Starobinsky potential [13] [14]. Now, the functional form of f(R,T) is arbitrary and model parameters can be included for fine tuning to fit the observational data.…”

“…The f(R,T) gravity was proposed by Harko et al where R is the Ricci scalar and T is the trace of the energy-momentum tensor [12]. f(R,T) theory has been studied in different topics of cosmology such as inflation [13] [14], dark energy [15], dark matter [16], wormhole [17], gravitational waves [18], baryogenesis [19], density perturbation [20]. The first work of inflation in the framework of f(R,T) gravity was done by Snehasish et al where they studied inflation from perfect fluid and quadratic potential [13].…”

“…f(R,T) theory has been studied in different topics of cosmology such as inflation [13] [14], dark energy [15], dark matter [16], wormhole [17], gravitational waves [18], baryogenesis [19], density perturbation [20]. The first work of inflation in the framework of f(R,T) gravity was done by Snehasish et al where they studied inflation from perfect fluid and quadratic potential [13]. Subsequently, Mauricio showed that in case of monomial power law potentials, no corrections due to f(R,T) have been induced where as in Natural and Hilltop potential, one of the parameter is trivially modified.…”

Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle

“…In order to estimate 4 He primordial abundance, we follow the approach of [63], recently revived in [57]. Let us summarize here the sequence of nuclear reactions responsible for the production of this element.…”

Reconstruction of DBI-essence dark energy with f(R) gravity and its effect on black hole and wormhole mass accretion

“…f (Q) and f (T ) come from the modifications in the metric tensor and Christoffel connections. f (R) and f (G) gravity models are basically the higher-order modification of Ricci tensor in Einstein action [1][2][3][4][5][6][7][8][9][10][11][12].…”