Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-15
Phys.Lett. B609 (2005) 181-186
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, LaTeX; minor changes and clarifications made
Scientific paper
10.1016/j.physletb.2005.01.064
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.
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