Accelerating Universe in a Big Bounce Model

Abstract

Recent observations of Type Ia supernovae provide evidence for the acceleration of our universe, which leads to the possibility that the universe is entering an inflationary epoch. We simulate it under a ``big bounce'' model, which contains a time variable cosmological ``constant'' that is derived from a higher dimension and manifests itself in 4D spacetime as dark energy. By properly choosing the two arbitrary functions contained in the model, we obtain a simple exact solution in which the evolution of the universe is divided into several stages. Before the big bounce, the universe contracts from a $\Lambda$-dominated vacuum, and after the bounce, the universe expands. In the early time after the bounce, the expansion of the universe is decelerating. In the late time after the bounce, dark energy (i.e., the variable cosmological ``constant'') overtakes dark matter and baryons, and the expansion enters an accelerating stage. When time tends to infinity, the contribution of dark energy tends to two third of the total energy density of the universe, qualitatively in agreement with observations.

Rextex4, 10 pages, 3 figures, revised and extended, accepted by Modern Physics Letter A

References in corpus (3)

• The Cosmological Constant and Dark Energy
• Application of the Campbell-Magaard theorem to higher-dimensional physics
• Universes encircling 5-dimensional black holes

Cited by in corpus (14)

• The dynamics of matter bounce cosmology in Weyl-type $f(Q,T)$ gravity
• An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion
• Statefinder Parameters for Five-Dimensional Cosmology
• Naked shell singularities on the brane
• An expanding 4D universe in a 5D Kaluza-Klein cosmology with higher dimensional matter
• Reconstruction of $5D$ Cosmological Models From Equation of State of Dark Energy
• The Big Bang as a Phase Transition
• Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmology
• Reconstruction of Five-dimensional Bounce cosmological Models From Deceleration Factor
• Correspondence between modified gravity and 5D Ricci-flat cosmologies
• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• Dark Energy in Global Brane Universe
• Scale-Invariant Bounce Cosmology in Weyl f(Q) Gravity with Quintom Signature
• $5D$ Solutions to $\Lambda$CDM Universe Derived from Global Brane Model