Cosmological constraints on brane world cosmology: Evidence for the 5th dimension

Mathematics – Logic

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Scientific paper

There is currently considerable interest in the possibility that our universe could be a submanifold embedded in a higher-dimensional spacetime. This brane-world paradigm is motivated by the D-brane solution found in ten-dimensional superstring theory. Here, we describe constraints from big-bang nucleosynthesis, high redshift supernovae, the galaxy cluster mass-to-light ratios, abd the CMB on the existence of such extra dimensions. We analyze the constraints on the currently popular Randall-Sundrum brane-world cosmology whereby the universe is described as a three-brane embedded in a five-dimensional anti-de Sitter space with a large (infinite) extra dimension. In this cosmology, the usual Friedmann equation contains extra terms which derive from existence of the extra dimension. For example, we show that a negative "dark radiation" term can reconcile the tension between the observed primordial ^4He and D abundances. Another consequence of a large extra dimension is that massive particles can be metastable and literally disappear into the bulk dimension. We show that disappearing dark matter is consistent (at the 95% confidence level) with both present observations of Type Ia supernovae at the highest redshift and trends in the mass-to-light ratios of galactic clusters with redshift. There are, however, constraints from the CMB. We also discuss how the return of dark matter back into the 3-brane also can account for the cosmological constant.

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