Swampland dS conjecture in Mimetic $f(R,T)$ gravity

Abstract

In this paper, we study a theory of gravity called mimetic $f(R,T)$ in the presence of swampland dS conjecture. For this purpose, we introduce several inflation solutions of the Hubble parameter H(N) from $f(R,T)=R+\delta T$ gravity model, in which R is Ricci scalar, and T denotes the trace of the energy-momentum tensor. Also, $\delta$ and $N$ are the free parameter and a number of e-fold, respectively. Then we calculate quantities such as potential, Lagrange multiplier, slow-roll, and some cosmological parameters such as $n_s$ and $r$. Then we challenge the mentioned inflationary model from the swampland dS conjecture. We discuss the stability of the model and investigate the compatibility or incompatibility of this inflationary scenario with the latest Planck observable data.

34 pages, 7 figures, accepted in Communications in Theoretical Physics

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• Weak Cosmic Censorship and Weak Gravity Conjectures in CFT Thermodynamics
• de Sitter Swampland Conjecture in String Field Inflation
• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Further Refining Swampland dS Conjecture in Mimetic f(G) Gravity
• Composite Inflation and further refining dS swampland conjecture
• Cosmic-Quantum Connections: Assessing the Viability of Weak Gravity and Weak Cosmic Censorship Conjectures in Kerr-Newman-Kiselev-Letelier Black Hole
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Stability of Extremal Black Holes and Weak Cosmic Censorship Conjecture in Kiselev Spacetime