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 $1-0.99235=0.00765>0$.

arXiv comment25 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 (91)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• de Sitter Vacua in String Theory
• Extended Theories of Gravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Planck 2018 results. X. Constraints on inflation
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Dark Matter Candidates from Particle Physics and Methods of Detection
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Hybrid Inflation
• On the Geometry of the String Landscape and the Swampland
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Planck 2013 results. XXII. Constraints on inflation
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• The Swampland: Introduction and Review
• Reconstructing the Inflaton Potential --- an Overview
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Gauss-Bonnet dark energy
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Mimetic Dark Matter
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Dark energy and dark matter as curvature effects
• Born-Infeld inspired modifications of gravity
• Density Perturbations in the Ekpyrotic Scenario
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• 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
• Constraints on Perturbative f(R) Gravity via Neutron Stars
• Cosmology with Mimetic Matter
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• On the recently proposed Mimetic Dark Matter
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• On the stability of the cosmological solutions in f(R,G) gravity
• An analysis of systematic effects in finite size scaling studies using the gradient flow
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Gauss-Bonnet Inflation
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Unification of Constant-roll Inflation and Dark Energy with Logarithmic $R^2$-corrected and Exponential $F(R)$ 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
• Further refining the de Sitter swampland conjecture
• Structure of neutron stars in R-squared gravity
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Eternal Inflation and the Refined Swampland Conjecture
• Is exponential gravity a viable description for the whole cosmological history?
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Lectures on inflation and cosmological perturbations
• Cosmic Censorship and Weak Gravity Conjecture in the Einstein-Maxwell-dilaton theory
• Cosmological perturbations in mimetic matter model
• Rational approximations of $f(R)$ cosmography through Padé polynomials
• No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
• Distance, de Sitter and Trans-Planckian Censorship conjectures: the status quo of Warm Inflation
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• Inevitable ghost and the degrees of freedom in f(R,G) gravity
• Slow-roll Inflation with the Gauss-Bonnet and Chern-Simons Corrections
• Trans-Planckian censorship, inflation and excited initial states for perturbations
• Kinematic model-independent reconstruction of Palatini $f(R)$ cosmology
• Natural Supergravity inflation
• New Modified Mimetic Gravity
• On the consistency of non-minimally coupled f(R) gravity
• Inflationary Attractors in $F(R)$ Gravity
• Early-time cosmological solutions in Einstein-scalar-Gauss-Bonnet theory
• Inflation in mimetic f(G) gravity
• Spotting deviations from R^2 inflation
• Anisotropic inflation in Gauss-Bonnet 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

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