Gauss-Bonnet brane-world cosmology without $Z_{2}$-symmetry

Details Gauss-Bonnet brane-world cosmology without $Z_{2}$-symmetry Gauss-Bonnet brane-world cosmology without $Z_{2}$-symmetry

2006-05-22

arxiv.org/abs/gr-qc/0605119v4

Class.Quant.Grav.24:2761,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 3 figures; Minor typos corrected. References added. V3: Numerical errors are corrected. Fig.1 and Fig.3 are replaced.

Scientific paper

10.1088/0264-9381/24/10/019

We consider a single 3-brane situated between two bulk spacetimes that posses the same cosmological constant, but whose metrics do not posses a $Z_{2}$-symmetry. On each side of the brane, the bulk is a solution to Gauss-Bonnet gravity. This asymmetry modifies junction conditions, and so new terms arise in the Friedmann equation. If these terms become dominant, these behave cosmological constant at early times for some case, and might remove the initial singularity for other case. However, we show that these new terms can not become dominant ones under usual conditions when our brane is outside an event horizon. We also show that any brane-world scenarios of this type revert to a $Z_{2}$-symmetric form at late times, and hence rule out certain proposed scenarios.

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