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  Extremal black holes and nilpotent orbits

Bossard, G. (2009). Extremal black holes and nilpotent orbits. Talk presented at XVI International Congress on Mathematical Physics. Prague. 2009-08-03 - 2009-08-08.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-44E7-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-44E8-5
Genre: Talk

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0910.0689v1.pdf (Preprint), 124KB
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 Creators:
Bossard, Guillaume1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Abstract: The stationary solutions of a large variety of (super)gravity theories can be described within a non-linear sigma model G / H* coupled to Euclidean gravity in three-dimensions, for which G is a simple group and H* a non-compact real form of its maximal compact subgroup. The absence of naked singularities in four dimensions requires the G Noether charge in 3D to satisfy a characteristic equation that determines it in function of the mass, the NUT charge and the electro-magnetic charges of the solution. It follows that the Noether charge associated to extremal black holes must lie in a certain Lagrangian submanifold of a nilpotent orbit of G. Constructing a suitable parameterisation of this Lagrangian, we are able to determine the so-called `fake superpotential' that governs the radial dependency of the scalar fields.

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 Identifiers: eDoc: 438059
Other: arXiv:0910.0689
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Title: XVI International Congress on Mathematical Physics
Place of Event: Prague
Start-/End Date: 2009-08-03 - 2009-08-08

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