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.
Subtracted Geometry from Harrison Transformations: II
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abstract
We extend our previous study (arXiv:1203.5088) to the case of five-dimensional multi-charge black holes, thus showing that these configurations and their subtracted geometries also lie in a 3d duality orbit. In order to explore the 3d duality orbit, we do a timelike reduction from 5d to 4d and a spacelike reduction from 4d to 3d. We present our analysis in the notation of Euclidean N=2 supergravity and its c-map. We also relate our analysis to that of Cveti\v{c}, Guica, and Saleem.
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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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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.