Exact Global Solutions of Brane Universes and Big Bounce

Abstract

Exact global solutions of five-dimensional cosmological models compactified on a $S_1/Z_2$ orbifold with two 3-branes are presented, and evolution of a simple model is studied. It is found that on all 4D spacetime hypersurfaces, except a singular one, the expanding universe was started not from a big bang but from a big bounce, and before the bounce the universe was in a deflationary contracting phase. It is also found that whether the energy density on the second brane is positive, zero, or negative depends on the size of the fifth dimension.

10 pages, one figure, minor changes, to appear in Phys. Lett. B

References in corpus (3)

• Equivalence Between Space-Time-Matter and Brane-World Theories
• Universe Models with a Variable Cosmological "Constant" and a "Big Bounce"
• On the Friedmann Equation in Brane-World Scenarios

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• Scaling Dark Energy in a Five-Dimensional Bouncing Cosmological Model
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• Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmology
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• The Real Scalar Field Equation for Nariai Black Hole in the 5D Schwarzschild-de Sitter Black String Space
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• Reconstruction of 5D Cosmological Model From Recent Observations
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• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• $5D$ Solutions to $\Lambda$CDM Universe Derived from Global Brane Model
• Using Energy Conditions to Distinguish Brane Models and Study Brane Matter