Brane world cosmology with Gauss-Bonnet interaction

2001/10/16 by B. Abdesselam, N. Mohammedi
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Einstein #Equation of state #Friedmann equations #Gauss–Bonnet theorem #Mathematical physics #Metric (unit) #Physics #Quantum mechanics #Randall–Sundrum model #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.65.084018

published as Phys.Rev. D65 (2002) 084018 · 9 pages, revtex style

arxiv created 2001/10/16 · openalex publication_date 2002/03/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study a Randall-Sundrum model modified by a Gauss-Bonnet interaction term. We consider, in particular, a Friedmann-Robertson-Walker metric on the brane and analyze the resulting cosmological scenario. It is shown that the usual Friedmann equations are recovered on the brane. The equation of state relating the energy density and the pressure is uniquely determined by the matching conditions. A cosmological solution with negative pressure is found.

Citations

• Eleven-dimensional supergravity on a manifold with boundary
• Single-brane cosmological solutions with a stable compact extra dimension
• Non-conventional cosmology from a brane universe
• Inflation in the five-dimensional universe with an orbifold extra dimension
• Large Mass Hierarchy from a Small Extra Dimension
• Heterotic and Type I string dynamics from eleven dimensions
• An Alternative to Compactification
• Thick brane worlds and their stability
• Cosmological challenges in theories with extra dimensions and remarks on the horizon problem
• Cosmological consequences of a rolling homogeneous scalar field
• Inflation, braneworlds and quintessence