Godel Type Metrics in Randall Sundrum Model

Details Godel Type Metrics in Randall Sundrum Model Godel Type Metrics in Randall Sundrum Model

2005-01-17

arxiv.org/abs/gr-qc/0501051v3

Mod.Phys.Lett.A22:979,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, typos corrected and references added

Scientific paper

10.1142/S021773230702172X

Anisotropic cosmological models such as the G\"{o}del universe and its extensions - G\"{o}del 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 $10^{-32}$, which implies that visible brane essentially lacks rotation.

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