Swampland conjecture in f(R) gravity by the Noether symmetry approach

Abstract

Swampland conjecture has been recently proposed to connect early time cosmological models with the string landscape, and then to understand if related scalar fields and potentials can come from some fundamental theory in the high energy regime. In this paper, we discuss swampland criteria for f (R) gravity considering models where duality symmetry is present. In this perspective, specific f (R) models can naturally belong to the string landscape. In particular, it is possible to show that duality is a Noether symmetry emerging from dynamics. The selected f (R) models, satisfying the swampland conjecture, are consistent, in principle, with both early and late-time cosmological behaviors.

Connecting early and late epochs by f(z)CDM cosmography

“…In this context, several Extended Theories of Gravity 2 have been tested, addressing phenomenology ranging from the primordial inflationary expansion to the current accelerated behavior [10,11,21]. Among these, it is particularly promising the Starobinsky model [53,54] that, according to the recent CMBR data, is one of the best candidate to fit inflationary behavior with the possibility to address also the recent dark energy behavior [55,56]. In this perspective, H 0 tension and other shortcomings of present observational cosmology could be solved, in principle, considering geometric corrections originated from primordial fluctuations and propagating up to infrared scales.…”

Swampland implications of GW170817-compatible Einstein-Gauss-Bonnet gravity

“…In the literature there is currently a lot of activity regarding the implications of the Swampland criteria, see Refs. [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][61][62][63][64][65][66][67][68][69][70][71]. Also in Ref.…”

“…(44), with the difference that the result of Eq. (44) was obtained without assuming the extra condition (46), namely ξ ′ √ 6ξ ′′ ≪ 1. In fact, this extra condition ξ ′ √ 6ξ ′′ ≪ 1 can be related to any phenomenologically viable Einstein-Gauss-Bonnet theory compatible with the GW170817 event, and as we show in Ref.…”

A topological approach for emerging D-branes and its implications for gravity

“…The role of the string dimension and its possible interactions with the branes, possibly representative of fundamental matter or gauge fields, as in standard string theory, may be considered in future. From an observational point of view, this scenario could be connected to the so called swampland conjecture giving rise to possible observational constraints [23,24].…”