2004/12/31 by Edward Teo · 12 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Fixed-point theorem #Fundamental theorem #Mathematical economics #Mathematics #No-go theorem #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.physletb.2005.01.064
published in Physics Letters B 609(3-4), 181-186 (Elsevier BV) · 11 pages, LaTeX; minor changes and clarifications made
arxiv created 2005/01/23 · openalex publication_date 2005/01/29 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.