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The Full integration of black hole solutions to symmetric supergravity theories
Physics Department, Lethbridge University.
Dipartimento di Fisica Teorica, Università di Torino & INFN-Sezione di Torino.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2010 (English)In: Nuclear Physics B, ISSN 0550-3213Article in journal (Refereed) Published
Abstract [en]

We prove that all stationary and spherical symmetric black hole solutions to theories with symmetric target spaces are integrable and we provide an explicit integration method. This exact integration is based on the description of black hole solutions as geodesic curves on the moduli space of the theory when reduced over the timelike direction. These geodesic equations of motion can be rewritten as a specific Lax pair equation for which mathematicians have provided the integration algorithms when the initial conditions are described by a diagonalizable Lax matrix. We comment on BPS versus non-BPS extremal black holes in this setup. The explicit details, such as a full integration of the STU-model and the non-diagonalizable integration algorithm, is left for a future work and instead some simple examples to illustrate our point are presented.

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Subatomic Physics
URN: urn:nbn:se:uu:diva-196388DOI: 10.1016/j.nuclphysb.2009.11.013OAI: oai:DiVA.org:uu-196388DiVA: diva2:610038
Available from: 2013-03-08 Created: 2013-03-08 Last updated: 2013-03-08

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