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Accelerating cosmologies from compactification.

Paul K Townsend1, Mattias N R Wohlfarth

  • 1Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Cambridge CB3 0WA, United Kingdom. P.K.Townsend@damtp.cam.ac.uk

Physical Review Letters
|August 26, 2003
PubMed
Summary

Researchers found a solution to Einstein

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Area of Science:

  • Theoretical physics
  • Cosmology
  • String theory

Background:

  • The "no-go" theorem restricts accelerated expansion in standard string/M theory compactifications.
  • Understanding compactification mechanisms is crucial for reconciling gravity with quantum mechanics.

Purpose of the Study:

  • To investigate solutions to (4+n)-dimensional vacuum Einstein equations.
  • To explore the possibility of accelerated expansion in time-dependent hyperbolic compactifications.

Main Methods:

  • Solving (4+n)-dimensional vacuum Einstein equations.
  • Analyzing spacetime compactification on n-dimensional hyperbolic manifolds with time-varying volume.

Main Results:

  • A solution was found where spacetime compactifies to a 4D Friedmann-Lemaître-Robertson-Walker cosmology.
  • This cosmology exhibits accelerated expansion in the Einstein conformal frame.
  • The "no-go" theorem does not apply to these cosmological hyperbolic compactifications.

Conclusions:

  • Cosmological (time-dependent) hyperbolic compactifications allow for accelerated expansion.
  • This finding challenges previous limitations imposed by the "no-go" theorem in string/M theory.

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