Chaos and Symmetry in String Cosmology

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

14 pages, one diagram; invited talk at the 11th Marcel Grossmann Meeting on Recent Developments in General Relativity, Berlin,

Scientific paper

We review the recently discovered interplay between chaos and symmetry in the general inhomogeneous solution of many string-related Einstein-matter systems in the vicinity of a cosmological singularity. The Belinsky-Khalatnikov-Lifshitz-type chaotic behaviour is found, for many Einstein-matter models (notably those related to the low-energy limit of superstring theory and M-theory), to be connected with certain (infinite-dimensional) hyperbolic Kac-Moody algebras. In particular, the billiard chambers describing the asymptotic cosmological behaviour of pure Einstein gravity in spacetime dimension d+1, or the metric-three-form system of 11-dimensional supergravity, are found to be identical to the Weyl chambers of the Lorentzian Kac-Moody algebras AE_d, or E_{10}, respectively. This suggests that these Kac-Moody algebras are hidden symmetries of the corresponding models. There even exists some evidence of a hidden equivalence between the general solution of the Einstein-three-form system and a null geodesic in the infinite dimensional coset space E_{10} / K(E_{10}), where K(E_{10}) is the maximal compact subgroup of E_{10}.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Chaos and Symmetry in String Cosmology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chaos and Symmetry in String Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaos and Symmetry in String Cosmology will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-673419

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.