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 [Formula: see text] gravity, mimetic [Formula: see text] gravity, mimetic [Formula: see text] 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 [Formula: see text] gravity and swampland dS conjectures. We analyze and evaluate these results. Therefore, we first thoroughly introduce the mimetic [Formula: see text] 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 [Formula: see text] gravity. Then we will challenge the swampland dS conjectures with this condition. By expressing the coefficient of swampland dS conjectures viz [Formula: see text] and [Formula: see text] in terms of [Formula: see text] and [Formula: see text], 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 [Formula: see text] and [Formula: see text] are not [Formula: see text], 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 [Formula: see text], [Formula: see text] and [Formula: see text]. 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 [Formula: see text], we can always find [Formula: see text], [Formula: see text] and [Formula: see text] whose value is larger than 2, viz for [Formula: see text], we find [Formula: see text], which we can choose [Formula: see text] according to the condition [Formula: see text]. Also we know [Formula: see text], so we will have [Formula: see text].