Black holes as generalised Toda molecules

Wissam Chemissany*, Jan Rosseel, Thomas Van Riet

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)

Abstract

In this note we compare the geodesic formalism for spherically symmetric black hole solutions with the black hole effective potential approach. The geodesic formalism is beneficial for symmetric supergravity theories since the symmetries of the larger target space lead to a complete set of commuting constants of motion that establish the integrability of the geodesic equations of motion, as shown in arXiv:1007.3209. We point out that the integrability lifts straightforwardly to the integrability of the equations of motion with a black hole potential. This construction turns out to be a generalisation of the connection between Toda molecule equations and geodesic motion on symmetric spaces known in the mathematics literature. We describe in some detail how this generalisation of the Toda molecule equations arises. (C) 2010 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)413-428
Number of pages16
JournalNuclear Physics B
Volume843
Issue number2
DOIs
Publication statusPublished - 11-Feb-2011

Keywords

  • GEODESIC MOTION
  • LIE-ALGEBRAS
  • DUALITY
  • MODULI
  • INTEGRATION
  • EQUATION
  • SYSTEMS
  • SPACES

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