Warped compactification to de Sitter space

Abstract

We explore in detail the prospects of obtaining a four-dimensional de Sitter universe in classical supergravity models with warped and time-independent extra dimensions, presenting explicit cosmological solutions of the $(4+n)$-dimensional Einstein equations with and without a bulk cosmological constant term. For the first time in the literature we show that there may exist a large class of warped supergravity models with a noncompact extra dimension which lead to a finite 4D Newton constant as well as a massless 4D graviton localised on an inflating four-dimensional FLRW universe. This result helps establish that the `no-go' theorem forbidding acceleration in `standard' compactification of string/M-theory on physically compact spaces should not apply to a general class of warped supergravity models that allows at least one noncompact direction. We present solutions for which the size of the radial dimension takes a constant value in the large volume limit, providing an explicit example of spontaneous compactification.

19 pages, 2 figures; final (journal) version

References in corpus (8)

• De Sitter brane-world, localization of gravity, and the cosmological constant
• Accelerating Universes from Compactification on a Warped Conifold
• Thick de Sitter brane solutions in higher dimensions
• Supersymmetric Intersecting Branes in Time-dependent Backgrounds
• A Brane World in an Arbitrary Number of Dimensions without Z_2 Symmetry
• Accelerating universe from warped extra dimensions
• The warping of extra spaces accelerates the expansion of the universe
• Warped compactification on curved manifolds

Cited by in corpus (2)

• De Sitter brane-world, localization of gravity, and the cosmological constant
• Warped compactification on curved manifolds