A no-go theorem for accelerating cosmologies from M-theory compactifications
arXiv:hep-th/0412164 · doi:10.1016/j.physletb.2005.01.064
Abstract
It is known that four-dimensional cosmologies exhibiting transient phases of acceleration can be obtained by compactifications of low-energy effective string or M-theory on time-varying manifolds. In the four-dimensional theory, the acceleration can be attributed to a quintessential scalar field with a positive effective potential. Recently, Townsend has conjectured that the potentials obtained by such compactifications cannot give rise to late-time accelerating universes which possess future event horizons. Such a `no-go' result would be desirable, since current string or M-theory seems unable to provide an adequate description of space-times with future event horizons. In this letter, we provide a proof of this conjecture for a class of warped compactifications with a single scalar modulus parametrising the volume of the compactification manifold.
11 pages, LaTeX; minor changes and clarifications made
References in corpus (2)
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