Hyperinflation

Abstract

A model of cosmological inflation is proposed in which field space is a hyperbolic plane. The inflaton never slow-rolls, and instead orbits the bottom of the potential, buoyed by a centrifugal force. Though initial velocities redshift away during inflation, in negatively curved spaces angular momentum naturally starts exponentially large and remains relevant throughout. Quantum fluctuations produce perturbations that are adiabatic and approximately scale invariant; strikingly, in a certain parameter regime the perturbations can grow double-exponentially during horizon crossing.

published as "Hyperbolic Inflation"

References in corpus (10)

• Mass hierarchies and non-decoupling in multi-scalar field dynamics
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Strongly Coupled Perturbations in Two-Field Inflationary Models
• Spinflation
• Primordial perturbations from inflation with a hyperbolic field-space
• On the geometrical interpretation of scale-invariant models of inflation
• Hypernatural inflation
• On the viability of m**2 phi**2 and natural inflation
• Modular Inflation Observables and $j$-Inflation Phenomenology
• Non-Gaussianities in DBI inflation with angular motion

Cited by in corpus (91)

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• Quantum loop effects on the power spectrum and constraints on primordial black holes
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• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Hybrid $\alpha$-attractors, primordial black holes and gravitational wave backgrounds
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• Bootstrapping Multi-Field Inflation: non-Gaussianities from light scalars revisited
• Scaling attractors in multi-field inflation
• Revisiting small-scale fluctuations in $\alpha$-attractor models of inflation
• Hyper non-Gaussianities in inflation with strongly non-geodesic motion
• The rapid-turn inflationary attractor
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• Revisiting non-Gaussianity in multifield inflation with curved field space
• Hyperinflation generalised: from its attractor mechanism to its tension with the `swampland conjectures'
• Out of the Swampland with Multifield Quintessence?
• New accelerating solutions in late-time cosmology
• On the inflationary massive field with a curved field manifold
• Attractors, Bifurcations and Curvature in Multi-field Inflation
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
• On Primordial Black Holes from Rapid Turns in Two-field Models
• Multi-field dark energy: cosmic acceleration on a steep potential
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Fat Inflatons, Large Turns and the $\eta$-problem
• Hyperbolic field space and swampland conjecture for DBI scalar
• Mild Non-Gaussianities under Perturbative Control from Rapid-Turn Inflation Models
• Multi-field Inflation in High-Slope Potentials
• A Tip for Landscape Riders: Multi-Field Inflation Can Fulfill the Swampland Distance Conjecture
• Large fluctuations and Primordial Black Holes
• Cosmological Solutions in Multiscalar Field Theory
• The Multi-Field, Rapid-Turn Inflationary Solution
• Sharp turns in axion monodromy: primordial black holes and gravitational waves
• Two scalar fields inflation from scale-invariant gravity with modified measure
• Testing an oscillatory behavior of dark energy
• Tachyonic de Sitter solutions of 10d type II supergravities
• Anisotropic Hyperbolic Inflation
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• On chromonatural inflation in string theory
• The effect of multiple features on the power spectrum in two-field inflation
• Gravitational Production of Completely Dark Photons with Nonminimal Couplings to Gravity
• Dark Energy from Inspiraling in Field Space
• Non-Gaussianities in models of inflation with large and negative entropic masses
• Completely Dark Matter from Rapid-Turn Multifield Inflation
• Two-field Cosmological $\alpha$-attractors with Noether Symmetry
• Conformal GUT inflation, proton lifetime and non-thermal leptogenesis
• Cosmological dynamics of multifield dark energy
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• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Dynamical consistency conditions for rapid turn inflation
• Hidden symmetries of two-field cosmological models
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Modular Inflation at Higher Level $N$
• (Slow-)Twisting inflationary attractors
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• New conservation laws and exact cosmological solutions in Brans-Dicke cosmology with an extra scalar field
• Large and small field inflation from hyperbolic sigma models
• Geometric structure of multi-form-field isotropic inflation and primordial fluctuations
• Adiabatic and isocurvature perturbations in extended theories with kinetic couplings
• Non-Gaussianity in rapid-turn multi-field inflation
• Anisotropic hyperbolic inflation for a model of two scalar and two vector fields
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Model-independent approach to effective sound speed in multi-field inflation
• New Anisotropic Exact Solution in Multifield Cosmology
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Quintom fields from chiral anisotropic cosmology
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• Analytic solution and Noether symmetries for the hyperbolic inflationary model in the Jordan frame
• Generalizing the Swampland: Embedding $P(X,\phi )$ Inflationary Theories in a Curved Multi-field Space
• On the Consistency of Rapid-Turn Inflation
• Multiscalar field cosmological model and possible solutions using Noether symmetry approach
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• Consistency Condition for Slow-roll and Rapid-turn Inflation
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• Stringy multifield quintessence and the Swampland
• Anisotropic Spacetimes in Chiral Scalar Field Cosmology
• On the importance of heavy fields in pseudo-scalar inflation
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• Ultra slow-turn inflation