Gauss-Bonnet braneworld redux: A novel scenario for the bouncing universe

2011/12/31 by Hideki Maeda
Mathematics · Physics and Astronomy · #Big Rip #Black Holes and Theoretical Physics #Brane #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Galaxies: Formation, Evolution, Phenomena #Geometry #Mathematics #Metric expansion of space #Physics #Quantum mechanics #Singularity #Spacetime #Theoretical physics #Universe #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.85.124012

published as Phys. Rev. D85 (2012) 124012 · 34 pages, 3 figures, 2 tables; v2, sections rearranged, typos corrected; v3, final version to appear in Physical Review D

arxiv created 2012/05/26 · openalex publication_date 2012/06/04 · arxiv updated 2013/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a new scenario for the bouncing universe in a simple five-dimensional braneworld model in the framework of Einstein-Gauss-Bonnet gravity, which works even with ordinary matter on the brane. In this scenario, the so-called branch singularity located at a finite physical radius in the bulk spacetime plays an essential role. We show that a three-brane moving in the bulk may reach and pass through it in spite of the fact that it is a curvature singularity. The bulk spacetime is extended beyond the branch singularity in the C⁰ sense and then the branch singularity is identified as a massive thin shell. From the bulk point of view, this process is the collision of the three-brane with the shell of branch singularity. From the point of view on the brane, this process is a sudden transition from the collapsing phase to the expanding phase of the universe. The present result opens a completely new possibility to achieve the bouncing brane universe as a higher-curvature effect.

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