Inflationary Cosmology in the Modified $f(R,T)$ Gravity

Abstract

In this work, we study the inflationary cosmology in modified gravity theory $f(R,T)=R+2\lambda T$ ($\lambda$ is the modified gravity parameter) with three distinct class of inflation potentials (i) ${\varphi }^p{e}^{-\alpha \varphi }$, (ii) $(1-{\varphi }^p)e^{-\alpha \varphi }$ and (iii) $\frac{\alpha {\varphi }^2}{1+\alpha {\varphi }^2}$ where $\alpha$, $p$ are the potential parameters. We have derived the Einstein equation, potential slow-roll parameters, the scalar spectral index $n_s$, tensor to scalar ratio $r$, and tensor spectral index $n_T$ in modified gravity theory. We obtain the range of $\lambda$ using the spectral index constraints in the parameter space of the potentials. Comparing our results with PLANCK 2018 data and WMAP data, we found out the modified gravity parameter $\lambda$ lies between $-0.37<\lambda <1.483$.

10 pages, 1 figure

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• Impact of Charge on Complexity Analysis and Isotropic Decoupled Solutions in $f(\mathbb{R},\mathbb{T})$ Gravity
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Extending Finch-Skea Isotropic Model to Anisotropic Domain in Modified $f(\mathcal{R},\mathcal{T})$ Gravity
• On Inflationary Models in f(R,T) Gravity with a Kinetic Coupling Term
• Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach
• Wormhole Solutions and Pre-inflationary Epoch in $F(R,T)$ Gravity with Axion Fields