Lorentzian Quintessential Inflation

Abstract

From the assumption that the slow roll parameter $\epsilon$ has a Lorentzian form as a function of the e-folds number $N$, a successful model of a quintessential inflation is obtained. The form corresponds to the vacuum energy both in the inflationary and in the dark energy epochs. The form satisfies the condition to climb from small values of $\epsilon$ to $1$ at the end of the inflationary epoch. At the late universe $\epsilon$ becomes small again and this leads to the Dark Energy epoch. The observables that the models predicts fits with the latest Planck data: $r\sim 10^{-3},n_s\approx 0.965$. Naturally a large dimensionless factor that exponentially amplifies the inflationary scale and exponentially suppresses the dark energy scale appears, producing a sort of {\it{cosmological see saw mechanism}}. We find the corresponding scalar Quintessential Inflationary potential with two flat regions - one inflationary and one as a dark energy with slow roll behavior.

This essay is awarded second prize in the 2020 Essay Competition of the Gravity Research Foundation

References in corpus (36)

• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Kinetically Driven Quintessence
• Hybrid Inflation
• Generalized G-inflation: Inflation with the most general second-order field equations
• Encyclopaedia Inflationaris
• Quintessence: A Review
• Quintessential inflation
• G-inflation: inflation driven by the Galileon field
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Galileon inflation
• Primordial Black Holes from $\alpha$-attractors
• Scale invariance, new inflation and decaying Lambda terms
• Dark energy, $\alpha$-attractors, and large-scale structure surveys
• Variable gravity: A suitable framework for quintessential inflation
• On the cosmological constant problem
• Variable gravity Universe
• Quintessential inflation with canonical and noncanonical scalar fields and Planck 2015 results
• Unification of inflation and dark energy {\it à la} quintessential inflation
• Cosmology and Convention
• A class of quintessential inflation models with parameter space consistent with BICEP2
• Emergent Cosmology, Inflation and Dark Energy
• Observational Constraints on New Exact Inflationary Scalar-field Solutions
• Potential-driven Galileon inflation
• PBH remnants as dark matter produced in thermal, matter and runaway-quintessence post-inflationary scenarios
• On the possibility of blue tensor spectrum within single field inflation
• Field theory model giving rise to "quintessential inflation" without the cosmological constant and other fine tuning problems
• Unified Dark Energy and Dark Matter from Dynamical Space Time
• Evading Lyth bound in models of quintessential inflation
• Preventing eternality in phantom inflation
• Scale Invariance and Vacuum Energy
• Tachyon warm-intermediate inflation in the light of Planck data
• A transition between bouncing hyper-inflation to ΛCDM from diffusive scalar fields
• The Scale Factor Potential Approach to Inflation

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• In the Realm of the Hubble tension $-$ a Review of Solutions
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• A review of Quintessential Inflation
• Quintessential inflation: A tale of emergent and broken symmetries
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• $\alpha$ attractors in Quintessential Inflation motivated by Supergravity
• Quintessential inflation and cosmological seesaw Mechanism: reheating and observational constraints
• Quintessential Inflation from Lorentzian Slow Roll
• Non-Canonical Volume-Form Formulation of Modified Gravity Theories and Cosmology
• What is needed of a scalar field if it is to unify inflation and late time acceleration ?
• Small cosmological constant from a peculiar inflaton potential
• Constraining the quintessential $\alpha$-attractor inflation through dynamical horizon exit method
• Unified Dark Energy and Dark Matter from Dynamical Spacetime Cosmology
• Witten-O'Raifeartaigh potential revisited in the context of Warm Inflation
• Gravitational particle production of superheavy massive particles in Quintessential Inflation: A numerical analysis
• Reheating constraints and the $H_0$ tension in Quintessential Inflation