Cosmological Inflation in f(Q, T) Gravity

Abstract

We study the cosmological inflation within the context of f(Q, T) gravity, wherein Q is the nonmetricity scalar and T is the trace of the matter energy-momentum tensor. By choosing a linear combination of Q and T, we first analyze the realization of an inflationary scenario driven via the geometrical effects of the linear f(Q, T) gravity and then, we obtain the modified slow-roll parameters, the scalar and the tensor spectral indices, and the tensor-to-scalar ratio for the proposed model. In addition, by choosing three inflationary potentials, i.e. the power-law, hyperbolic and natural potentials, and by applying the slow-roll approximations, we calculate these inflationary observables in the presence of an inflaton scalar field. The results indicate that by properly restricting the free parameters, the proposed model provides appropriate predictions that are consistent with the observational data obtained from the Planck 2018. Also, we specify that the contribution of linear model of f(Q, T) gravity with the hyperbolic and natural potentials can impose different restrictions on the parameters of these potentials. Furthermore, the predictions of natural inflation in this model are in good agreement with the joint Planck, BK15 and BAO data, justifying the use of the f(Q, T) gravity.

revised 18 pages, a few figures, references added

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• Evolutionary behaviour of cosmological parameters with dynamical system analysis in f (Q, T) gravity
• Late-time cosmology in $f(Q,L_m)$ gravity: Analytical solutions and observational fits
• Constraining $f(Q,L_m)$ gravity with bulk viscosity
• Observational analysis of late-time acceleration in $f(Q,L_m)$ gravity
• Weyl type $f(Q,T)$ gravity observational constrained cosmological model
• Impact of dark matter galactic halo models on wormhole geometry within $f(Q,T)$ gravity
• The dynamics of matter bounce cosmology in Weyl-type $f(Q,T)$ gravity
• Constraints on anisotropic properties of the universe in $f(Q,T)$ gravity theory
• Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity
• Observational Constraints on Hybrid Scale Factor in f(Q,T) Gravity with Anisotropic Space-Time
• $f(Q,T)$ gravity, its covariant formulation, energy conservation and phase-space analysis
• Tensor Perturbations from Bounce Inflation Scenario in f(Q) Gravity
• Testing scale-invariant inflation against cosmological data
• Constrained cosmological model in $f(Q,T)$ gravity with non-linear non-metricity
• Dynamical reconstruction of the $\Lambda$CDM model in the scalar-tensor representation of $f\left(Q,T\right)$ gravity
• Probing Weyl-type $f(Q,T)$ gravity: Cosmological implications and constraints
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Cosmological constraints on $f(Q)$ gravity models in the non-coincident formalism
• Perturbation Spectra of Warm Inflation in $f(Q,T)$ Gravity
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Compact Binary Merger Rate with Modified Gravity in Dark-Matter Spikes
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• Viable Wormhole Structures and Energy Conditions in f(Q,T) Theory
• Cosmological Solutions of Chameleon Scalar Field Model
• Investigating the compatibility of exact solutions in Weyl-type $f(Q,T)$ gravity with observational data
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• The Universe according to DESI results
• Inflation and primordial fluctuations in $f(Q,T)$ gravity
• Metric Field as Emergence of Hilbert Space
• Exploring the Viability of $f(Q,T)$ Gravity: Constraining Parameters with Cosmological Observations
• Inflation from a generalized exponential plateau: towards extra suppressed tensor-to-scalar ratios