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Black holes as generalised Toda molecules
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Fysiska sektionen, Institutionen för fysik och astronomi, Teoretisk fysik.
2011 (engelsk)Inngår i: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 843, s. 413-428Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2011. Vol. 843, s. 413-428
Emneord [en]
black hole model, rotation, geodesic, integrability, Toda molecule, effective potential, supergravity, scalar field theory, abelian gauge field theory, coset space, effective action
HSV kategori
Forskningsprogram
Teoretisk fysik
Identifikatorer
URN: urn:nbn:se:uu:diva-196367DOI: 10.1016/j.nuclphysb.2010.10.006OAI: oai:DiVA.org:uu-196367DiVA, id: diva2:609993
Tilgjengelig fra: 2013-03-08 Laget: 2013-03-08 Sist oppdatert: 2017-12-06

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