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.

30 pages, 25 figure files; v2: references added

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• Microphysical manifestations of viscosity and consequences for anisotropies in the very early universe
• 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
• 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