The Peebles -- Vilenkin quintessential inflation model revisited

Abstract

We review the well-known Peebles-Vilenkin (PV) quintessential inflation model and discuss its possible improvements in agreement with the recent observations. The improved PV model depends only on two parameters: the inflaton mass $m$, and another smaller mass $M$; where the latter has to be chosen in order to undertake that, at present time, the dark energy density of the universe is approximately about 70\% of the total energy budget of the universe. The value of the inflaton mass $m$ is calculated using the observational value of the power spectrum of the scalar perturbations, and the value of mass $M$, which depends on the reheating temperature, is calculated by solving the corresponding dynamical system whose initial conditions are taken at the matter-radiation equality and are obtained from three observational data: the red shift at the matter-radiation equality, the ratio of the matter energy density to the critical one at the present time and the current value of the Hubble parameter.

arXiv comment28 pages; 7 captioned figures; version published in The European Physical Journal C

References in corpus (39)

• Planck 2015 results. XIII. Cosmological parameters
• Dynamics of dark energy
• Cosmological Imprint of an Energy Component with General Equation of State
• Cosmological Tracking Solutions
• Quintessence and the Rest of the World
• Inflation Dynamics and Reheating
• Quintessential inflation
• A classification of scalar field potentials with cosmological scaling solutions
• Quintessence arising from exponential potentials
• A New Cosmological Model of Quintessence and Dark Matter
• Superheavy dark matter
• Instant Preheating
• Quintessence, the Gravitational Constant, and Gravity
• Production and detection of relic gravitons in quintessential inflationary models
• On the gravitational production of superheavy dark matter
• Electroweak Baryogenesis and the Expansion Rate of the Universe
• A new cosmological tracker solution for Quintessence
• Inflation and Preheating in NO models
• Production of Purely Gravitational Dark Matter
• Dark energy, $\alpha$-attractors, and large-scale structure surveys
• Modeling Quintessential Inflation
• Emergent scale symmetry: Connecting inflation and dark energy
• Instant Preheating in Quintessential Inflation with $\alpha$-Attractors
• Quintessential inflation with canonical and noncanonical scalar fields and Planck 2015 results
• Unification of inflation and dark energy {\it à la} quintessential inflation
• A class of quintessential inflation models with parameter space consistent with BICEP2
• Observational constraints on successful model of quintessential Inflation
• Gravitational particle creation for dark matter and reheating
• Gravitational production of super-Hubble-mass particles: an analytic approach
• Low-scale Quintessential Inflation
• Gravitational reheating through conformally coupled superheavy scalar particles
• Reheating in quintessential inflation via gravitational production of heavy massive particles: A detailed analysis
• A simple nonsingular inflationary quintessential model
• Simple inflationary quintessential model II: Power law potentials
• Reheating constraints in quintessential inflation
• On the viability of quintessential inflationary models from observational data
• Quintessential inflation at low reheating temperatures
• Inflation and late-time acceleration from a double-well potential with cosmological constant
• Different reheating mechanisms in quintessence inflation

Cited by in corpus (19)

• 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
• $\alpha$ attractors in Quintessential Inflation motivated by Supergravity
• Quintessential inflation and cosmological seesaw Mechanism: reheating and observational constraints
• Understanding gravitational particle production in quintessential inflation
• Quintessential Inflation from Lorentzian Slow Roll
• Scaling solutions in quintessential inflation
• Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
• Testing $\alpha$-attractor quintessential inflation against CMB and low-redshift data
• Relic gravitons from stiff curvature perturbations
• Gravitational production of superheavy baryonic and dark matter in quintessential inflation: nonconformally coupled case
• Do current observations support transient acceleration of our universe?
• Quintessential Inflation for Exponential Type Potentials: Scaling and Tracker Behavior
• The spectrum of Gravitational Waves, their overproduction in quintessential inflation and its influence in the reheating temperature
• Constraining the quintessential $\alpha$-attractor inflation through dynamical horizon exit method
• Entropy Production in the Inflationary Epoch Using the Gouy-Stodola Theorem
• Gravitational particle production of superheavy massive particles in Quintessential Inflation: A numerical analysis
• Witten-O'Raifeartaigh potential revisited in the context of Warm Inflation