Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-15
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, 7 figures, LaTex; V1: misprints corrected, two references added
Scientific paper
In this paper we show that the supergravity equations describing both cosmic billiards and a large class of black-holes are, generically, both Liouville integrable as a consequence of the same universal mechanism. This latter is provided by the Liouville integrable Poissonian structure existing on the dual Borel algebra B_N of the simple Lie algebra A_{N-1}. As a by product we derive the explicit integration algorithm associated with all symmetric spaces U/H^{*} relevant to the description of time-like and space-like p-branes. The most important consequence of our approach is the explicit construction of a complete set of conserved involutive hamiltonians h_{\alpha} that are responsible for integrability and provide a new tool to classify flows and orbits. We believe that these will prove a very important new tool in the analysis of supergravity black holes and billiards.
Fre' Pietro
Sorin Alexander S.
No associations
LandOfFree
Supergravity Black Holes and Billiards and Liouville integrable structure of dual Borel algebras 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 Supergravity Black Holes and Billiards and Liouville integrable structure of dual Borel algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supergravity Black Holes and Billiards and Liouville integrable structure of dual Borel algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-165494