2006/12/31 by Wontae Kim, E. J. Son, Edwin J. Son
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dilaton #Inflation (cosmology) #Lie algebra #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Poisson algebra #Poisson bracket #Poisson distribution #Quantum #Quantum mechanics #Semiclassical physics #Singularity #Theoretical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.75.024025
published as Phys.Rev.D75:024025,2007 · 13 pages, 2 figures; v2. to appear in Phys. Rev. D
arxiv created 2007/01/16 · openalex publication_date 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the second accelerating expansion of the universe appears smoothly from the decelerating phase, which follows the initial inflation, in the two-dimensional soluble semiclassical dilaton gravity along with the modified Poisson brackets with noncommutativity between the relevant fields. This is in contrast to the fact that the ordinary solution of the equations of motion following from the conventional Poisson algebra describes a permanent accelerating universe without any phase change. In this modified model, it turns out that the noncommutative Poisson algebra is responsible for the remarkable phase transition to the second accelerating expansion.