Non-Singular Bounces Catalysed by Dark Energy

Abstract

We investigate classically non-singular bounces caused by dark energy. In the presence of positive spatial curvature, vacuum energy, either in the form of a cosmological constant or a scalar field potential, allows for an open set of initial conditions leading to non-singular bounces, without any violation of the null energy condition. We study anisotropic Bianchi IX cosmologies, and demonstrate that they can even have multiple bounces, accompanied by intricate evolutions of the anisotropies that provide a non-singular analogue of mixmaster crunches. The relation of these solutions to more complete cosmological models, as well as to the recently proposed swampland criteria, are briefly discussed.

arXiv comment30 pages, 25 figure files; v2: references added

References in corpus (37)

• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• On the Cosmological Implications of the String Swampland
• De Sitter Space and the Swampland
• Ekpyrotic and Cyclic Cosmology
• What if string theory has no de Sitter vacua?
• G-Bounce
• Lorentzian Quantum Cosmology
• On the de Sitter swampland criterion
• Bouncing Galileon Cosmologies
• Suppressing CMB Quadrupole with a Bounce from Contracting Phase to Inflation
• A Cosmological Super-Bounce
• Classically stable non-singular cosmological bounces
• Cosmological perturbations through a simple bounce
• Analytic self-gravitating Skyrmions, cosmological bounces and AdS wormholes
• No Rescue for the No Boundary Proposal
• Cosmological Perturbations Through a Non-Singular Ghost-Condensate/Galileon Bounce
• Cosmology with a spin
• Asymptotically (anti) de Sitter Black Holes and Wormholes with a Self Interacting Scalar Field in Four Dimensions
• G-Bounce Inflation: Towards Nonsingular Inflation Cosmology with Galileon Field
• Non-singular big-bounces and evolution of linear fluctuations
• Simplest cosmological model with the scalar field
• Cosmological Perturbations Through a General Relativistic Bounce
• Dark Energy and the Return of the Phoenix Universe
• Small-Field and Scale-Free: Inflation and Ekpyrosis at their Extremes
• Topologically non-trivial configurations in the 4d Einstein--nonlinear $\sigma$-model system
• Cyclic Mixmaster Universes
• Four-dimensional Traversable Wormholes and Bouncing Cosmologies in Vacuum
• The Worldvolume Action of Kink Solitons in AdS Spacetime
• The Return of the Phoenix Universe
• Quantum Transitions Through Cosmological Singularities
• Topological entropy for some isotropic cosmological models
• Spinor driven cosmic bounces and their cosmological perturbations
• Simplest cosmological model with the scalar field II. Influence of cosmological constant
• Dynamical Selection of the Primordial Density Fluctuation Amplitude
• Heterotic Kink Solitons and their Worldvolume Action
• The massive scalar field in a closed Friedmann universe model - new rigorous results
• Bouncing universes and their perturbations : a simple model revisited

Cited by in corpus (17)

• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• Uses of Complex Metrics in Cosmology
• Multi-field Inflation in High-Slope Potentials
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Microphysical manifestations of viscosity and consequences for anisotropies in the very early universe
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• A generalized Kasner transition for bouncing Bianchi I models in modified gravity theories
• On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
• Primordial Gravitational Wave Circuit Complexity
• Kerr-NUT-de Sitter as an Inhomogeneous Non-Singular Bouncing Cosmology
• Bouncing Cosmological Isotropic Solutions in Scalar-Tensor Gravity
• Curvature bounce in general relativity: background and primordial spectrum
• Implications of the singularity theorem for the size of a nonsingular universe
• How Much NEC Breaking Can the Universe Endure?
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Delicate curvature bounces in the no-boundary wave function and in the late universe
• Geodesically Complete Curvature-Bounce Inflation