Constructs multi-center extremal black hole solutions in Bertotti-Robinson spacetime via monodromy-matrix factorization, producing Majumdar-Papapetrou-type metrics with AdS2 × S2 near-horizons and BR asymptotics.
Non-Supersymmetric Attractor Flow in Symmetric Spaces
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abstract
We derive extremal black hole solutions for a variety of four dimensional models which, after Kaluza-Klein reduction, admit a description in terms of 3D gravity coupled to a sigma model with symmetric target space. The solutions are in correspondence with certain nilpotent generators of the isometry group. In particular, we provide the exact solution for a non-BPS black hole with generic charges and asymptotic moduli in N=2 supergravity coupled to one vector multiplet. Multi-centered solutions can also be generated with this technique. It is shown that the non-supersymmetric solutions lack the intricate moduli space of bound configurations that are typical of the supersymmetric case.
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The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.
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Multi--black holes in Bertotti--Robinson spacetime
Constructs multi-center extremal black hole solutions in Bertotti-Robinson spacetime via monodromy-matrix factorization, producing Majumdar-Papapetrou-type metrics with AdS2 × S2 near-horizons and BR asymptotics.
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Monodromy-Matrix Description of Extremal Multi-centered Black Holes
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.