T-Model Inflation and Bouncing Cosmology

Abstract

We examine the dynamics of a closed cosmology whose matter source is that of a conformally coupled scalar field with a broken $\mathrm{SO}(1,1)$ symmetry, which correspond to the $\alpha$-attractors proposed by Linde and Kallosh. Following a field redefinition, such models give rise to "T-model" inflationary potentials, whose dynamics provide both an inflationary phase and a classical bounce. We show that the universe can undergo bounces far from the regime of quantum gravity. We analyse perturbations on this background with particular attention given to the effects of a double-bouncing scenario (with rapid recollapse between bounces) on the long wavelength modes. We demonstrate that the predictions of such models agree well with observations and might explain the suppression of power in the low multiples of the CMB.

29 pages, 7 figures

References in corpus (39)

• Superconformal Inflationary $\alpha$-Attractors
• Quintessential inflation
• The Unity of Cosmological Attractors
• Horizon crossing and inflation with large η
• A Quantum Gravity Extension of the Inflationary Scenario
• An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
• The Measure Problem in Cosmology
• Cosmological Attractors and Initial Conditions for Inflation
• Cosmological perturbations through a simple bounce
• Ultra slow-roll inflation demystified
• Inflationary schism after Planck2013
• Planck, LHC, and $\alpha$-attractors
• Quintessential Inflation with $\alpha$-attractors
• Creation of a Compact Topologically Nontrivial Inflationary Universe
• Matter creation in a nonsingular bouncing cosmology
• Instant Preheating in Quintessential Inflation with $\alpha$-Attractors
• Can we have inflation with Omega > 1?
• Initial Conditions for Inflation - A Short Review
• Does Chaotic Mixing Facilitate Omega<1 Inflation?
• No fifth force in a scale invariant universe
• The Phantom Bounce: A New Oscillating Cosmology
• Steep Eternal Inflation and the Swampland
• General Dynamics of Varying-Alpha Universes
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• On the problem of initial conditions for inflation
• Inflationary Attractors and their Measures
• Black hole formation in a contracting universe
• Inflation in the closed FLRW model and the CMB
• Dynamical Analysis of Attractor Behavior in Constant Roll Inflation
• Bouncing Universe from Nothing
• Inflationary $\alpha$-attractor cosmology: A global dynamical systems perspective
• Inflation beyond T-models and primordial B-modes
• Beyond the Poles in Attractor Models of Inflation
• Current observations with a decaying cosmological constant allow for chaotic cyclic cosmology
• Tensor perturbations during inflation in a spatially closed Universe
• Initial conditions for inflation
• Minimal Coupling and Attractors
• Volume Weighting the Measure of the Universe from Classical Slow-Roll Expansion
• $w=-1$ as an Attractor

Cited by in corpus (9)

• Health checkup test of the standard cosmological model in view of recent Cosmic Microwave Background Anisotropies experiments
• Cosmological constraints on slow-roll inflation: an update
• The resilience of the Etherington-Hubble relation
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Swampland Constraints on No-Boundary Quantum Cosmology
• Dissipative Emergence of Inflation from Quasi-Cyclic Universe
• Dissipative Genesis of the Inflationary Universe
• Universe bouncing its way to inflation
• Adaptive asymptotic solutions of inflationary models in the Hamilton-Jacobi formalism: Application to T-models