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Phys. Rev. Lett. 91, 061302 (2003) [4 pages]

Accelerating Cosmologies from Compactification

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Paul K. Townsend* and Mattias N. R. Wohlfarth
Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Cambridge CB3 0WA, United Kingdom

Received 19 March 2003; published 7 August 2003

A solution of the (4+n)-dimensional vacuum Einstein equations is found for which spacetime is compactified on an n-dimensional compact hyperbolic manifold (n≥2) of time-varying volume to a flat four-dimensional Friedmann-Lemaitre-Robertson-Walker cosmology undergoing a period of accelerated expansion in the Einstein conformal frame. This shows that the “no-go” theorem forbidding acceleration in “standard” (time-independent) compactifications of string or M theory does not apply to “cosmological” (time-dependent) hyperbolic compactifications.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.061302
DOI:
10.1103/PhysRevLett.91.061302
PACS:
98.80.Cq, 11.25.Mj, 11.25.Yb, 98.80.Jk

*Electronic address: P.K.Townsend@damtp.cam.ac.uk

Electronic address: M.N.R.Wohlfarth@damtp.cam.ac.uk