Accelerating universe from warped extra dimensions

Abstract

Accelerating universe or the existence of a small and positive cosmological constant is probably the most pressing obstacle as well as opportunity to significantly improving the models of four-dimensional cosmology from fundamental theories of gravity, including string theory. In seeking to resolve this problem, one naturally wonders if the real world can somehow be interpreted as an inflating de Sitter brane embedded in a higher-dimensional spacetime described by warped geometry. In this scenario, the four-dimensional cosmological constant may be uniquely determined in terms of two length scales: one is a scale associated with the size of extra dimensions and the other is a scale associated with the expansion rate of our universe. In some specific cases, these two scales are complementary to each other. This result is demonstrated here by presenting some explicit and completely non-singular de Sitter space dS${}_4$ solutions of vacuum Einstein equations in five and ten dimensions.

7 pages; extended (from journal) version, minor typos fixed, refs added

References in corpus (7)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Large Mass Hierarchy from a Small Extra Dimension
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Cited by in corpus (15)

• Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
• Localization of gravity on a de Sitter thick braneworld without scalar fields
• De Sitter brane-world, localization of gravity, and the cosmological constant
• Extra dimensions, warped compactifications and cosmic acceleration
• Universal spin-1/2 fermion field localization on a 5D braneworld
• Warped compactification to de Sitter space
• Simple cosmological de Sitter solutions on dS${}_4\times Y_6$ spaces
• FRW type of cosmology with a Chaplygin gas
• The warping of extra spaces accelerates the expansion of the universe
• Inhomogeneities in dusty universe - a possible alternative to dark energy?
• Warped compactification on curved manifolds
• Multidimensional gravitational model with anisotropic pressure
• Constraining the runaway dilaton and quintessential dark energy
• Five-dimensional warped product space-time with time-dependent warping and a scalar field in the bulk
• We Probably Live On An Inflating Brane-World