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Black holes as generalised Toda molecules
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2011 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 843, 413-428 p.Article in journal (Refereed) Published
Abstract [en]

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 leads 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.

Place, publisher, year, edition, pages
2011. Vol. 843, 413-428 p.
Keyword [en]
black hole model, rotation, geodesic, integrability, Toda molecule, effective potential, supergravity, scalar field theory, abelian gauge field theory, coset space, effective action
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-196367DOI: 10.1016/j.nuclphysb.2010.10.006OAI: oai:DiVA.org:uu-196367DiVA: diva2:609993
Available from: 2013-03-08 Created: 2013-03-08 Last updated: 2017-12-06

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