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arXiv · hep-th/0703117

Ellipsoidal universe in the brane world

Xian-Hui Ge·Sang Pyo Kim
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Abstract

We study a scenario of the ellipsoidal universe in the brane world cosmology with a cosmological constant in the bulk . From the five-dimensional Einstein equations we derive the evolution equations for the eccentricity and the scale factor of the universe, which are coupled to each other. It is found that if the anisotropy of our universe is originated from a uniform magnetic field inside the brane, the eccentricity decays faster in the bulk in comparison with a four-dimensional ellipsoidal universe. We also investigate the ellipsoidal universe in the brane-induced gravity and find the evolution equation for the eccentricity which has a contribution determined by the four- and five-dimensional Newton's constants. The role of the eccentricity is discussed in explaining the quadrupole problem of the cosmic microwave background.

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Xian-Hui Ge, Sang Pyo Kim. 2007-05-18. Ellipsoidal universe in the brane world. https://doi.org/10.1088/1475-7516%2F2007%2F07%2F001

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