Further Refining Swampland dS Conjecture in Mimetic f(G) Gravity

Abstract

Mimetic gravity analysis has been studied as a theory in various types of general relativity extensions, such as mimetic f(R) gravity, mimetic f(R, T) gravity, mimetic f(R, G) gravity, etc., in the literature. This paper presents a set of equations arising from mimetic conditions and studies cosmic inflation with a combination of mimetic f(G) gravity and swampland dS conjectures. We analyze and evaluate these results. Therefore, we first thoroughly introduce the mimetic f(G) gravity and calculate some cosmological parameters such as the scalar spectral index, the tensor-to-scalar ratio, and the slow-roll parameters. Also, we investigate the potential according to the mimetic f(G) gravity. Then we will challenge the swampland dS conjectures with this condition. By expressing the coefficient of swampland dS conjectures viz $C_1$ and $C_2$ in terms of $n_s$ and $r$, we plot some figures and determine the allowable range for each of these cosmological parameters and these coefficients, and finally, compare these results with observable data such as Planck and BICEP2/Keck array data. We show $C_1$ and $C_2$ are not $\mathcal{O}(1)$, so the refining swampland dS conjecture is not satisfied for this inflationary model. Then we examine it with further refining swampland dS conjecture, which has a series of free parameters such as $a,b>0$, $q>2$, and $a+b=1$. By adjusting these parameters, the compatibility of the mentioned conjecture with the inflationary model can be discussed. We determine the further refining swampland dS conjecture is satisfied. when $a<\frac{1}{1.00489}=0.99513$, we can always find $a$, $b$ and $q$ whose value is larger than 2, viz for $q=2.4$, we find $0.99185\le a<1$, which we can choose $a=0.99235$ according to the condition $a<0.99513$. Also we know $b=1-a$, so we will have $1-0.99235=0.00765>0$.

25 pages, 5 figures. Accepted for publication in International Journal of Modern Physics D (This work is dedicated to the memory of Prof Farhad Darabi)

References in corpus (44)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark Matter Candidates from Particle Physics and Methods of Detection
• On the Geometry of the String Landscape and the Swampland
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• The Swampland: Introduction and Review
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Dark energy and dark matter as curvature effects
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Cosmology with Mimetic Matter
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Dynamical behavior in mimetic F(R) gravity
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Ghost conditions for Gauss-Bonnet cosmologies
• Structure of neutron stars in R-squared gravity
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Is exponential gravity a viable description for the whole cosmological history?
• Cosmological perturbations in mimetic matter model
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• Distance, de Sitter and Trans-Planckian Censorship conjectures: the status quo of Warm Inflation
• Inevitable ghost and the degrees of freedom in f(R,G) gravity
• Trans-Planckian censorship, inflation and excited initial states for perturbations
• New Modified Mimetic Gravity
• Inflationary Attractors in $F(R)$ Gravity
• Black hole solutions in mimetic Born-Infeld gravity
• Pleasant behavior of swampland conjectures in the face of specific inflationary models
• Anisotropic constant-roll inflation with noncommutative model and swampland conjectures
• Trans-Planckian censorship and single-field inflaton potential
• Swampland Conjecture and Inflation Model from Brane Perspective
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Swampland conjectures in hybrid metric-Palatini gravity
• Further refining Swampland Conjecture on inflation in general scalar-tensor theories of gravity
• Inflation, Swampland, and Landscape

Cited by in corpus (4)

• Reissner-Nordström black holes surrounded by perfect fluid dark matter: testing the viability of weak gravity conjecture and weak cosmic censorship conjecture simultaneously
• Weak Cosmic Censorship and Weak Gravity Conjectures in CFT Thermodynamics
• 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