Brane World Cosmology Without the Z_2 Symmetry

Abstract

The Friedmann equation for a positive tension brane situated between two bulk spacetimes that posses the same 5D cosmological constant, but which does not posses a Z_2 symmetry of the metric itself is derived, and the possible effects of dropping the Z_2 symmetry on the expansion of our Universe are examined; cosmological constraints are discussed. The global solutions for the metric in the infinite extra dimension case are found and comparison with the symmetric case is made. We show that any brane world senario of this type must revert to a Z_2 symmetric form at late times, and hence rule out certain proposed scenarios.

RevTeX, 13 pages. Previous version has been split into two papers. The other part is now hep-ph/0012223

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• Inflation and Braneworlds: Degeneracies and Consistencies
• Induced cosmological constant and other features of asymmetric brane embedding
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• Curved dilatonic brane worlds
• Boundary Inflation and the WMAP Data
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• Asymmetric D-braneworld
• Soliton models for thick branes
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• Brane Cosmology in an Arbitrary Number of Dimensions
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• Geodesics, the Equivalence Principle and Singularities in Higher-dimensional General Relativity and Braneworlds
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• Flat Vacuum Branes Without Fine Tuning
• Gauss-Bonnet brane-world cosmology without $Z_2$-symmetry
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• Thick branes via higher order field theory models with exponential and power-law tails
• High-energy effective theory for orbifold branes
• Self-gravitating splitting thin shells
• AdSS_5 Brane World Cosmology
• Metamaterial branes