Logarithmic corrected $f(R)$ gravitational model and swampland conjectures

Abstract

In this paper, we use corrected $f(R)$ gravitational model which is polynomial function with a logarithmic term. In that case, we employ the slow-roll condition and obtain the number of cosmological parameter. This help us to verify the swampland conjectures which is guarantee the validation of low - energy quantum field theory. The obtained results shown that the corresponding model is consistent with the swampland conjectures. Also the upper and lower limit of the parameter \textcolor{red}{$n$} are \textcolor{blue}{0.15} and \textcolor{blue}{0.0033}. Finally, by using scalar spectrum index $n_s$ and tensor to scalar ratio $r$ relations and compared with Planck 2018 empirical data, we obtain the coefficients $\alpha$,$\beta$ and $\gamma$. Also, the corresponding results are creaked by several figures, literature and also plank 2018 data.

arXiv comment17 pages. 13 figures

References in corpus (30)

• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Coupled Quintessence
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Disappearing cosmological constant in f(R) gravity
• Distance and de Sitter Conjectures on the Swampland
• A classification of scalar field potentials with cosmological scaling solutions
• On the Cosmological Implications of the String Swampland
• The String Landscape and the Swampland
• On Physical Equivalence between Nonlinear Gravity Theories
• Quintessence without scalar fields
• The landscape, the swampland and the era of precision cosmology
• Constraints on Perturbative f(R) Gravity via Neutron Stars
• A polynomial f(R) inflation model
• Dark energy from a quintessence (phantom) field rolling near potential minimum (maximum)
• A note on Inflation and the Swampland
• Aetherizing Lambda: Barotropic Fluids as Dark Energy
• Structure of neutron stars in R-squared gravity
• Eternal Inflation and the Refined Swampland Conjecture
• A note on Single-field Inflation and the Swampland Criteria
• Eternal Inflation and Swampland Conjectures
• Bounds on Slow Roll at the Boundary of the Landscape
• Modified gravity with logarithmic curvature corrections and the structure of relativistic stars
• Avoiding the string swampland in single-field inflation: Excited initial states
• Type I Hilltop Inflation and the Refined Swampland Criteria
• Higgs Inflation and the Refined dS Conjecture
• Towards a proof of the Weak Gravity Conjecture
• Gauss-Bonnet inflation and swampland
• The Swampland Spectrum Conjecture in Inflation
• Refined Swampland conjecture in deformed Starobinsky gravity