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.
Inverse Scattering and the Geroch Group
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abstract
We study the integrability of gravity-matter systems in D=2 spatial dimensions with matter related to a symmetric space G/K using the well-known linear systems of Belinski-Zakharov (BZ) and Breitenlohner-Maison (BM). The linear system of BM makes the group structure of the Geroch group manifest and we analyse the relation of this group structure to the inverse scattering method of the BZ approach in general. Concrete solution generating methods are exhibited in the BM approach in the so-called soliton transformation sector where the analysis becomes purely algebraic. As a novel example we construct the Kerr-NUT solution by solving the appropriate purely algebraic Riemann-Hilbert problem in the BM approach.
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hep-th 2years
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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.