Rescaled Einstein-Hilbert Gravity from $f(R)$ Gravity: Inflation, Dark Energy and the Swampland Criteria

Abstract

We consider a class of exponential models of $f(R)$ gravity, in the presence of a canonical scalar field, for which at early times the effective Lagrangian of the theory becomes that of a rescaled canonical scalar field with the Einstein-Hilbert term becoming $\sim \alpha R$, with $\alpha$ a dimensionless constant. This rescaled Einstein-Hilbert scalar field theory at early times alters the inflationary phenomenology of well-known scalar field models of inflation, but more importantly, in the context of this rescaled theory, the Swampland criteria are easily satisfied, assuming that the scalar field is slowly rolling. We consider two models of inflation to exemplify our study, a fibre inflation model and a model that belongs to the general class of supergravity $\alpha$-attractor models. The inflationary phenomenology of the models is demonstrated to be viable, and for the same set of values of the free parameters of each model which ensure their inflationary viability, all the known Swampland criteria are satisfied too, and we need to note that we assumed that the first Swampland criterion is marginally satisfied by the scalar field, so $\varphi \sim M_p$ during the inflationary era. Finally, we examine the late-time phenomenology of the fibre inflation potential in the presence of the full $f(R)$ gravity, and we demonstrate that the resulting model produces a viable dark energy era, which resembles the $\Lambda$-Cold-Dark-Mater model. Thus in the modified gravity model we present, the Universe is described by a rescaled Einstein-Hilbert gravity at early times, hence in some sense the modified gravity effect is minimal primordially, and the scalar field controls mainly the dynamics with a rescaled Ricci scalar gravity. However $f(R)$ gravity dominates at late-times, where it controls the dynamics, synergistically with the scalar field.

arXiv commentRevised version, PRD Accepted, abstract reduced slightly due to arXiv limitations

References in corpus (76)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Planck 2018 results. X. Constraints on inflation
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• On the Geometry of the String Landscape and the Swampland
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• The Swampland: Introduction and Review
• Distance and de Sitter Conjectures on the Swampland
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• On the Cosmological Implications of the String Swampland
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Bounds on Slow Roll and the de Sitter Swampland
• De Sitter Space and the Swampland
• Bouncing Cosmologies: Progress and Problems
• Ekpyrotic and Cyclic Cosmology
• A Critical Review of Classical Bouncing Cosmologies
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Inflation, Supergravity and Superstrings
• Fibre Inflation: Observable Gravity Waves from IIB String Compactifications
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• The landscape, the swampland and the era of precision cosmology
• Exploring Bouncing Cosmologies with Cosmological Surveys
• Hubble Sinks In The Low-Redshift Swampland
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• The string swampland constraints require multi-field inflation
• Cosmological Attractors and Initial Conditions for Inflation
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• The zoo plot meets the swampland: mutual (in)consistency of single-field inflation, string conjectures, and cosmological data
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• de Sitter Swampland, $H_0$ tension & observation
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Bouncing cosmologies with dark matter and dark energy
• An Extended Matter Bounce Scenario: current status and challenges
• Do We Live in the Swampland?
• Cosmic Bounces and Cyclic Universes
• Runaway Quintessence, Out of the Swampland
• Quintessence Saves Higgs Instability
• The Swampland, Quintessence and the Vacuum Energy
• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• F-theory and Dark Energy
• Universal Upper Bound on the Inflationary Energy Scale from the Trans-Planckian Censorship Conjecture
• Dark energy beyond quintessence: Constraints from the swampland
• Pixelated Dark Energy
• Quantum Log-Corrections to Swampland Conjectures
• Supersymmetric Protection and the Swampland
• Type I Hilltop Inflation and the Refined Swampland Criteria
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• Phenomenological Consequences of the Refined Swampland Conjecture
• Swampland criteria for a dark-energy dominated universe, ensuing from Gaussian process and H(z) data analysis
• Higgs Inflation and the Refined dS Conjecture
• Swampland conjecture in $f(R)$ gravity by the Noether Symmetry Approach
• Electroweak relaxation of cosmological hierarchy
• Gravity's Islands: Parametrizing Horndeski Stability
• Minimal gauge inflation and the refined Swampland conjecture
• Hyperbolic field space and swampland conjecture for DBI scalar
• Multi-field Inflation in High-Slope Potentials
• Eternal Inflation, Entropy Bounds and the Swampland
• Relating the scalar weak gravity conjecture and the swampland distance conjecture for an accelerating universe
• Emergent Dark Universe and the Swampland Criteria
• Reheating Constraints on Inflaton, Dark Matter: Swampland Conjecture
• Isocurvature Perturbations of Dark Energy and Dark Matter from the Swampland Conjecture
• Swampland Criteria in the Slotheon Field Dark Energy
• The Swampland Conjectures and Slow-Roll Thawing Quintessence
• Big Bounce Genesis and Possible Experimental Tests -- A Brief Review
• Revisiting Scalar Tensor inflation by swampland criteria and Reheating
• The Theory of Inflation
• Bouncing Cosmologies

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• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• Constraints on cosmological parameters in light of the scalar-tensor theory of gravity and swampland conjectures
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• Towards a unified interpretation of the early Universe in $R^2$-corrected dark energy model of $F(R)$ gravity
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• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
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• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
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• Observational constraints on a modified-gravity model with an exponential function of the curvature using the expansion history, the RSD, and the Pantheon+SH0ES data
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