Godel Type Metrics in Randall Sundrum Model
arXiv:gr-qc/0501051 · doi:10.1142/S021773230702172X
Abstract
Anisotropic cosmological models such as the Gödel universe and its extensions - Gödel type solutions, are embedded on a visible 3-brane in the Randall-Sundrum 1 model. The size of the extra dimension is stabilized by tuning the rotation parameter to a very small value so that hierarchy problem can be solved. A limiting case also yields the Randall-Sundrum 2 model. The rotation parameter on the visible brane turns out to be of order , which implies that visible brane essentially lacks rotation.
10 pages, typos corrected and references added
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