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  Multi-black holes from nilpotent Lie algebra orbits

Bossard, G., & Nicolai, H. (2010). Multi-black holes from nilpotent Lie algebra orbits. General Relativity and Gravitation, 42(3), 509-537.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-608B-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-608D-4
Genre: Journal Article

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 Creators:
Bossard, Guillaume1, Author              
Nicolai, Hermann1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: For N \ge 2 supergravities, BPS black hole solutions preserving four supersymmetries can be superposed linearly, leading to well defined solutions containing an arbitrary number of such BPS black holes at arbitrary positions. Being stationary, these solutions can be understood via associated non-linear sigma models over pseudo-Riemaniann spaces coupled to Euclidean gravity in three spatial dimensions. As the main result of this paper, we show that whenever this pseudo-Riemanniann space is an irreducible symmetric space G/H*, the most general solutions of this type can be entirely characterised and derived from the nilpotent orbits of the associated Lie algebra Lie(G). This technique also permits the explicit computation of non-supersymmetric extremal solutions which cannot be obtained by truncation to N=2 supergravity theories. For maximal supergravity, we not only recover the known BPS solutions depending on 32 independent harmonic functions, but in addition find a set of non-BPS solutions depending on 29 harmonic functions. While the BPS solutions can be understood within the appropriate N=2 truncation of N=8 supergravity, the general non-BPS solutions require the whole field content of the theory.

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 Dates: 2010
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 430684
Other: arXiv:0906.1987
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Title: General Relativity and Gravitation
Source Genre: Journal
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Publ. Info: Dordrecht, etc. : Kluwer Academic Publishers [etc.]
Pages: - Volume / Issue: 42 (3) Sequence Number: - Start / End Page: 509 - 537 Identifier: DOI: 10.1007/s10714-009-0870-2
Other: 0001-7701