An algebraic technique generates rotating black holes and multi-source solutions from static ones by transforming to AdS×S asymptotics, applying a rotating frame shift, and returning to flat asymptotics.
Almost BPS black holes
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abstract
We study non-BPS black hole solutions to ungauged supergravity with 8 supercharges coupled to vector multiplets in four and five dimensions. We identify a large class of five dimensional non-BPS solutions, which we call "almost BPS", that are supersymmetric on local patches and satisfy a first order flow governed by harmonic functions. By dimensional reduction, they give rise to new non-BPS solutions in four dimensions. These solutions allow for some nontrivial asymptotic moduli and multiple centres, similar to their globally supersymmetric cousins. We explicitly discuss a single centre and a two centre example.
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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.
citing papers explorer
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Generating Rotation in a Snap
An algebraic technique generates rotating black holes and multi-source solutions from static ones by transforming to AdS×S asymptotics, applying a rotating frame shift, and returning to flat 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.